* [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:  Setting MPFR precision to 576
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Computing exacts on every 2 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Computing exacts for 256 points
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 71 additional inputs, on iter 1 have 185 / 256
* * * * [misc]points:  Computing exacts on every 4 of 71 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 71 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 71 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 18 additional inputs, on iter 2 have 238 / 256
* * * * [misc]points:  Computing exacts for 18 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 3 have 252 / 256
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [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 (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (186 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) R)
* * [misc]progress:  iteration 1 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) R))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 1 2 2 2)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1 1 2 1 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1 1 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) in (phi1 phi2 lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (- phi1 phi2) (- phi1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- phi1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of (- phi1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 phi1) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 phi1) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (+ phi1 (- phi2)) into (- phi1 phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (+ phi1 (- phi2)) into (- phi1 phi2)
* [misc]backup-simplify:  Simplify (* (- phi1 phi2) (- phi1 phi2)) into (pow (- phi1 phi2) 2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ lambda1 0) into lambda1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) into (* (cos (* 1/2 (+ phi1 phi2))) lambda1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ lambda1 0) into lambda1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) into (* (cos (* 1/2 (+ phi1 phi2))) lambda1)
* [misc]backup-simplify:  Simplify (* (* (cos (* 1/2 (+ phi1 phi2))) lambda1) (* (cos (* 1/2 (+ phi1 phi2))) lambda1)) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))
* [misc]backup-simplify:  Simplify (+ (pow (- phi1 phi2) 2) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))) into (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2)))
* [misc]backup-simplify:  Simplify (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2))))
* [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 (+ (* (- phi1 phi2) 0) (* 0 (- phi1 phi2))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 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 (+ (* lambda1 0) (* -1 (cos (* 1/2 (+ phi1 phi2))))) into (- (cos (* 1/2 (+ phi1 phi2))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 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 (+ (* lambda1 0) (* -1 (cos (* 1/2 (+ phi1 phi2))))) into (- (cos (* 1/2 (+ phi1 phi2))))
* [misc]backup-simplify:  Simplify (+ (* (* (cos (* 1/2 (+ phi1 phi2))) lambda1) (- (cos (* 1/2 (+ phi1 phi2))))) (* (- (cos (* 1/2 (+ phi1 phi2)))) (* (cos (* 1/2 (+ phi1 phi2))) lambda1))) into (- (+ (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)))) into (- (+ (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)))
* [misc]backup-simplify:  Simplify (/ (- (+ (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) (* 2 (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (* -1/2 (* (+ (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (- phi1 phi2) (- phi1 phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of (- phi1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 phi1) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 phi1) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (+ phi1 (- phi2)) into (- phi1 phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (+ phi1 (- phi2)) into (- phi1 phi2)
* [misc]backup-simplify:  Simplify (* (- phi1 phi2) (- phi1 phi2)) into (pow (- phi1 phi2) 2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (- lambda2)) into (- lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (- lambda2)) into (- lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
* [misc]backup-simplify:  Simplify (* (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))
* [misc]backup-simplify:  Simplify (+ (pow (- phi1 phi2) 2) (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2)))
* [misc]backup-simplify:  Simplify (sqrt (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))
* [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 (+ (* (- phi1 phi2) 0) (* 0 (- phi1 phi2))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (- lambda2) 0) (* 1 (cos (* 1/2 (+ phi1 phi2))))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (- lambda2) 0) (* 1 (cos (* 1/2 (+ phi1 phi2))))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (+ (* (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) (cos (* 1/2 (+ phi1 phi2)))) (* (cos (* 1/2 (+ phi1 phi2))) (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (sqrt (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (- phi1 phi2) (- phi1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- phi1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 phi1) into phi1
* [misc]backup-simplify:  Simplify (/ phi1 2) into (* 1/2 phi1)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1))
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 phi1) into phi1
* [misc]backup-simplify:  Simplify (/ phi1 2) into (* 1/2 phi1)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ phi1 0) into phi1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ phi1 0) into phi1
* [misc]backup-simplify:  Simplify (* phi1 phi1) into (pow phi1 2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi1))) into (* (- lambda1 lambda2) (cos (* 1/2 phi1)))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi1))) into (* (- lambda1 lambda2) (cos (* 1/2 phi1)))
* [misc]backup-simplify:  Simplify (* (* (- lambda1 lambda2) (cos (* 1/2 phi1))) (* (- lambda1 lambda2) (cos (* 1/2 phi1)))) into (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))
* [misc]backup-simplify:  Simplify (+ (pow phi1 2) (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))) into (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))
* [misc]backup-simplify:  Simplify (sqrt (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))) into (sqrt (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))))
* [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 (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* phi1 -1) (* -1 phi1)) into (- (* 2 phi1))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 2) (+ (* (* 1/2 phi1) (/ 0 2)))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1)))
* [misc]backup-simplify:  Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- lambda1 lambda2) (- (* 1/2 (sin (* 1/2 phi1))))) (* 0 (cos (* 1/2 phi1)))) into (- (* 1/2 (* lambda2 (sin (* 1/2 phi1)))) (* 1/2 (* (sin (* 1/2 phi1)) lambda1)))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 2) (+ (* (* 1/2 phi1) (/ 0 2)))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1)))
* [misc]backup-simplify:  Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- lambda1 lambda2) (- (* 1/2 (sin (* 1/2 phi1))))) (* 0 (cos (* 1/2 phi1)))) into (- (* 1/2 (* lambda2 (sin (* 1/2 phi1)))) (* 1/2 (* (sin (* 1/2 phi1)) lambda1)))
* [misc]backup-simplify:  Simplify (+ (* (* (- lambda1 lambda2) (cos (* 1/2 phi1))) (- (* 1/2 (* lambda2 (sin (* 1/2 phi1)))) (* 1/2 (* (sin (* 1/2 phi1)) lambda1)))) (* (- (* 1/2 (* lambda2 (sin (* 1/2 phi1)))) (* 1/2 (* (sin (* 1/2 phi1)) lambda1))) (* (- lambda1 lambda2) (cos (* 1/2 phi1))))) into (- (+ (* lambda2 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) lambda1))) (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (* (pow lambda2 2) (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))))
* [misc]backup-simplify:  Simplify (+ (- (* 2 phi1)) (- (+ (* lambda2 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) lambda1))) (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (* (pow lambda2 2) (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))))) into (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (+ (* 2 phi1) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))))
* [misc]backup-simplify:  Simplify (/ (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (+ (* 2 phi1) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))))) (* 2 (sqrt (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))))) into (* 1/2 (* (sqrt (/ 1 (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))))) (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (+ (* 2 phi1) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (- phi1 phi2) (- phi1 phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of (- phi1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 0) into phi2
* [misc]backup-simplify:  Simplify (/ phi2 2) into (* 1/2 phi2)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 0) into phi2
* [misc]backup-simplify:  Simplify (/ phi2 2) into (* 1/2 phi2)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (+ 0 (- phi2)) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (+ 0 (- phi2)) into (- phi2)
* [misc]backup-simplify:  Simplify (* (- phi2) (- phi2)) into (pow phi2 2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi2))) into (* (cos (* 1/2 phi2)) (- lambda1 lambda2))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi2))) into (* (cos (* 1/2 phi2)) (- lambda1 lambda2))
* [misc]backup-simplify:  Simplify (* (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) into (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))
* [misc]backup-simplify:  Simplify (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) into (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))
* [misc]backup-simplify:  Simplify (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) into (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (- phi2) 1) (* 1 (- phi2))) into (- (* 2 phi2))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 2) (+ (* (* 1/2 phi2) (/ 0 2)))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2)))
* [misc]backup-simplify:  Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- lambda1 lambda2) (- (* 1/2 (sin (* 1/2 phi2))))) (* 0 (cos (* 1/2 phi2)))) into (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* (sin (* 1/2 phi2)) lambda1)))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 2) (+ (* (* 1/2 phi2) (/ 0 2)))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2)))
* [misc]backup-simplify:  Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- lambda1 lambda2) (- (* 1/2 (sin (* 1/2 phi2))))) (* 0 (cos (* 1/2 phi2)))) into (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* (sin (* 1/2 phi2)) lambda1)))
* [misc]backup-simplify:  Simplify (+ (* (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* (sin (* 1/2 phi2)) lambda1)))) (* (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* (sin (* 1/2 phi2)) lambda1))) (* (cos (* 1/2 phi2)) (- lambda1 lambda2)))) into (- (* 2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))
* [misc]backup-simplify:  Simplify (+ (- (* 2 phi2)) (- (* 2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))) into (- (* 2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))) (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2))) (* 2 phi2))))
* [misc]backup-simplify:  Simplify (/ (- (* 2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))) (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2))) (* 2 phi2)))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) into (* 1/2 (* (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (- (* 2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))) (+ (* 2 phi2) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2))))))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (- phi1 phi2) (- phi1 phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of (- phi1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 0) into phi2
* [misc]backup-simplify:  Simplify (/ phi2 2) into (* 1/2 phi2)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 0) into phi2
* [misc]backup-simplify:  Simplify (/ phi2 2) into (* 1/2 phi2)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (+ 0 (- phi2)) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (+ 0 (- phi2)) into (- phi2)
* [misc]backup-simplify:  Simplify (* (- phi2) (- phi2)) into (pow phi2 2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi2))) into (* (cos (* 1/2 phi2)) (- lambda1 lambda2))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi2))) into (* (cos (* 1/2 phi2)) (- lambda1 lambda2))
* [misc]backup-simplify:  Simplify (* (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) into (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))
* [misc]backup-simplify:  Simplify (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) into (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))
* [misc]backup-simplify:  Simplify (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) into (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (- phi2) 1) (* 1 (- phi2))) into (- (* 2 phi2))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 2) (+ (* (* 1/2 phi2) (/ 0 2)))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2)))
* [misc]backup-simplify:  Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- lambda1 lambda2) (- (* 1/2 (sin (* 1/2 phi2))))) (* 0 (cos (* 1/2 phi2)))) into (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* (sin (* 1/2 phi2)) lambda1)))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 2) (+ (* (* 1/2 phi2) (/ 0 2)))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2)))
* [misc]backup-simplify:  Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- lambda1 lambda2) (- (* 1/2 (sin (* 1/2 phi2))))) (* 0 (cos (* 1/2 phi2)))) into (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* (sin (* 1/2 phi2)) lambda1)))
* [misc]backup-simplify:  Simplify (+ (* (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* (sin (* 1/2 phi2)) lambda1)))) (* (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* (sin (* 1/2 phi2)) lambda1))) (* (cos (* 1/2 phi2)) (- lambda1 lambda2)))) into (- (* 2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))
* [misc]backup-simplify:  Simplify (+ (- (* 2 phi2)) (- (* 2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))) into (- (* 2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))) (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2))) (* 2 phi2))))
* [misc]backup-simplify:  Simplify (/ (- (* 2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))) (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2))) (* 2 phi2)))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) into (* 1/2 (* (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (- (* 2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))) (+ (* 2 phi2) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2))))))))
* [misc]taylor:  Taking taylor expansion of (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (pow lambda1 2) (pow lambda2 2)) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (pow lambda1 2) (pow lambda2 2))) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 2 (* lambda2 lambda1)) into (* 2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (* lambda2 lambda1))) into (- (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (+ (pow lambda1 2) (pow lambda2 2)) (- (* 2 (* lambda2 lambda1)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (sqrt (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) into (sqrt (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))
* [misc]backup-simplify:  Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (pow lambda1 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (pow lambda2 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 lambda1)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (* lambda2 lambda1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (* lambda2 lambda1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (pow lambda1 2) (pow lambda2 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* lambda2 lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* lambda2 0) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow lambda2 2) 0) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (sqrt (pow lambda2 2)) into lambda2
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 1) (* 0 0)) into lambda2
* [misc]backup-simplify:  Simplify (+ (* 2 lambda2) (* 0 0)) into (* 2 lambda2)
* [misc]backup-simplify:  Simplify (- (* 2 lambda2)) into (- (* 2 lambda2))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 lambda2))) into (- (* 2 lambda2))
* [misc]backup-simplify:  Simplify (/ (- (* 2 lambda2)) (* 2 (sqrt (pow lambda2 2)))) into -1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (- (* 2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))) (+ (* 2 phi2) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (- (* 2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))) (+ (* 2 phi2) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (pow lambda1 2) (pow lambda2 2)) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (pow lambda1 2) (pow lambda2 2))) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 2 (* lambda2 lambda1)) into (* 2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (* lambda2 lambda1))) into (- (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (+ (pow lambda1 2) (pow lambda2 2)) (- (* 2 (* lambda2 lambda1)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) into (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) into (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))))
* [misc]backup-simplify:  Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (pow lambda1 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (pow lambda2 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 lambda1)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (* lambda2 lambda1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (* lambda2 lambda1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) (/ 0 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))))) into 0
* [misc]taylor:  Taking taylor expansion of (- (* 2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))) (+ (* 2 phi2) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sin (* 1/2 phi2)) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))) (+ (* 2 phi2) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sin (* 1/2 phi2)) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (+ (* 2 phi2) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sin (* 1/2 phi2)) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 0 (* lambda2 lambda1)) into 0
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 0 (pow lambda2 2)) into 0
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 0 (pow lambda1 2)) into 0
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) 0) into 0
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of -1 in lambda2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- phi2) 0) (+ (* 1 1) (* 0 (- phi2)))) into 1
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 phi2)) (- 1/8)) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (cos (* 1/2 phi2))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 phi2) (/ 0 2)) (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 phi2)) 0) (+ (* 0 1/2) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (- (* 1/8 (cos (* 1/2 phi2)))) 0) into (- (* 1/8 (cos (* 1/2 phi2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- lambda1 lambda2) (- (* 1/8 (cos (* 1/2 phi2))))) (+ (* 0 (- (* 1/2 (sin (* 1/2 phi2))))) (* 0 (cos (* 1/2 phi2))))) into (- (* 1/8 (* (cos (* 1/2 phi2)) lambda2)) (* 1/8 (* (cos (* 1/2 phi2)) lambda1)))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 phi2)) (- 1/8)) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (cos (* 1/2 phi2))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 phi2) (/ 0 2)) (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 phi2)) 0) (+ (* 0 1/2) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (- (* 1/8 (cos (* 1/2 phi2)))) 0) into (- (* 1/8 (cos (* 1/2 phi2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- lambda1 lambda2) (- (* 1/8 (cos (* 1/2 phi2))))) (+ (* 0 (- (* 1/2 (sin (* 1/2 phi2))))) (* 0 (cos (* 1/2 phi2))))) into (- (* 1/8 (* (cos (* 1/2 phi2)) lambda2)) (* 1/8 (* (cos (* 1/2 phi2)) lambda1)))
* [misc]backup-simplify:  Simplify (+ (* (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (- (* 1/8 (* (cos (* 1/2 phi2)) lambda2)) (* 1/8 (* (cos (* 1/2 phi2)) lambda1)))) (+ (* (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* (sin (* 1/2 phi2)) lambda1))) (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* (sin (* 1/2 phi2)) lambda1)))) (* (- (* 1/8 (* (cos (* 1/2 phi2)) lambda2)) (* 1/8 (* (cos (* 1/2 phi2)) lambda1))) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))))) into (- (+ (* 1/4 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (* 1/2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) (* 1/4 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2))))) (+ (* 1/2 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (* 1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2))) (* 1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))))))
* [misc]backup-simplify:  Simplify (+ 1 (- (+ (* 1/4 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (* 1/2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) (* 1/4 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2))))) (+ (* 1/2 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (* 1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2))) (* 1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))))))) into (- (+ (* 1/4 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (* 1/4 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (* 1/2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) 1))) (+ (* 1/2 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (* 1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) (* 1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2))))))
* [misc]backup-simplify:  Simplify (/ (- (- (+ (* 1/4 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (* 1/4 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (* 1/2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) 1))) (+ (* 1/2 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (* 1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) (* 1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)))))) (pow (* 1/2 (* (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (- (* 2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))) (+ (* 2 phi2) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))))) 2) (+)) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) into (* 1/2 (* (- (+ (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) (+ (* 1/4 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (* 2 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 (* lambda1 phi2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/4 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) (+ (* 1/2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) 1)))))) (+ (* 1/4 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (/ (pow phi2 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) (+ (* 1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (* 3/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/2 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) (+ (* 1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) (* 1/4 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))))))))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (- (+ (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) (+ (* 1/4 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (* 2 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 (* lambda1 phi2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/4 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) (+ (* 1/2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) 1)))))) (+ (* 1/4 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (/ (pow phi2 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) (+ (* 1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (* 3/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/2 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) (+ (* 1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) (* 1/4 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))))))))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (- (+ (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) (+ (* 1/4 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (* 2 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 (* lambda1 phi2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/4 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) (+ (* 1/2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) 1)))))) (+ (* 1/4 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (/ (pow phi2 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) (+ (* 1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (* 3/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/2 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) (+ (* 1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) (* 1/4 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))))))))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) (+ (* 1/4 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (* 2 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 (* lambda1 phi2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/4 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) (+ (* 1/2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) 1)))))) (+ (* 1/4 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (/ (pow phi2 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) (+ (* 1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (* 3/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/2 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) (+ (* 1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) (* 1/4 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) (+ (* 1/4 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (* 2 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 (* lambda1 phi2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/4 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) (+ (* 1/2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) 1)))))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (sin (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow lambda2 3) lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 3) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1/2) into 1/4
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* lambda2 (pow lambda2 2)) into (pow lambda2 3)
* [misc]backup-simplify:  Simplify (* (pow lambda2 3) lambda1) into (* (pow lambda2 3) lambda1)
* [misc]backup-simplify:  Simplify (* 1/4 (* (pow lambda2 3) lambda1)) into (* 1/4 (* (pow lambda2 3) lambda1))
* [misc]backup-simplify:  Simplify (* 1 (* 1/4 (* (pow lambda2 3) lambda1))) into (* 1/4 (* (pow lambda2 3) lambda1))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (pow lambda1 2) (pow lambda2 2)) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (pow lambda1 2) (pow lambda2 2))) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 2 (* lambda2 lambda1)) into (* 2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (* lambda2 lambda1))) into (- (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (+ (pow lambda1 2) (pow lambda2 2)) (- (* 2 (* lambda2 lambda1)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (/ (* 1/4 (* (pow lambda2 3) lambda1)) (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) into (* 1/4 (/ (* (pow lambda2 3) lambda1) (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (* 2 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 (* lambda1 phi2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/4 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) (+ (* 1/2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) 1))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/4 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/4 in phi2
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (sin (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 (* lambda1 phi2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/4 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) (+ (* 1/2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) 1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 (* lambda1 phi2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 (* lambda1 phi2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 (* lambda1 phi2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sin (* 1/2 phi2)) (* lambda2 (* lambda1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 (* lambda1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* lambda1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (* lambda1 0) into 0
* [misc]backup-simplify:  Simplify (* lambda2 0) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda1 1) (* 0 0)) into lambda1
* [misc]backup-simplify:  Simplify (+ (* lambda2 lambda1) (* 0 0)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 0 (* lambda2 lambda1)) (* 1/2 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda1 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (+ (* 0 lambda1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1/2 (* lambda2 lambda1)) (* 0 0))) into (* 1/2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (+ (* 1 (* 1/2 (* lambda2 lambda1))) (+ (* 0 0) (* (- 1/8) 0))) into (* 1/2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (pow lambda1 2) (pow lambda2 2)) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (pow lambda1 2) (pow lambda2 2))) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 2 (* lambda2 lambda1)) into (* 2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (* lambda2 lambda1))) into (- (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (+ (pow lambda1 2) (pow lambda2 2)) (- (* 2 (* lambda2 lambda1)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (/ (* 1/2 (* lambda2 lambda1)) (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) into (* 1/2 (/ (* lambda2 lambda1) (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) (+ (* 1/2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) 1))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/4 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/4 in phi2
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (sin (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) (+ (* 1/2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) 1)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (sin (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 (pow lambda1 3)) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 3) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1/2) into 1/4
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* lambda1 (pow lambda1 2)) into (pow lambda1 3)
* [misc]backup-simplify:  Simplify (* lambda2 (pow lambda1 3)) into (* lambda2 (pow lambda1 3))
* [misc]backup-simplify:  Simplify (* 1/4 (* lambda2 (pow lambda1 3))) into (* 1/4 (* lambda2 (pow lambda1 3)))
* [misc]backup-simplify:  Simplify (* 1 (* 1/4 (* lambda2 (pow lambda1 3)))) into (* 1/4 (* lambda2 (pow lambda1 3)))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (pow lambda1 2) (pow lambda2 2)) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (pow lambda1 2) (pow lambda2 2))) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 2 (* lambda2 lambda1)) into (* 2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (* lambda2 lambda1))) into (- (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (+ (pow lambda1 2) (pow lambda2 2)) (- (* 2 (* lambda2 lambda1)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (/ (* 1/4 (* lambda2 (pow lambda1 3))) (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) into (* 1/4 (/ (* lambda2 (pow lambda1 3)) (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) 1) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of 1 in phi2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (/ (pow phi2 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) (+ (* 1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (* 3/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/2 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) (+ (* 1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) (* 1/4 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/4 in phi2
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (sin (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 4) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1/2) into 1/4
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* (pow lambda2 2) (pow lambda2 2)) into (pow lambda2 4)
* [misc]backup-simplify:  Simplify (* 1/4 (pow lambda2 4)) into (* 1/4 (pow lambda2 4))
* [misc]backup-simplify:  Simplify (* 1 (* 1/4 (pow lambda2 4))) into (* 1/4 (pow lambda2 4))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (pow lambda1 2) (pow lambda2 2)) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (pow lambda1 2) (pow lambda2 2))) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 2 (* lambda2 lambda1)) into (* 2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (* lambda2 lambda1))) into (- (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (+ (pow lambda1 2) (pow lambda2 2)) (- (* 2 (* lambda2 lambda1)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (/ (* 1/4 (pow lambda2 4)) (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) into (* 1/4 (/ (pow lambda2 4) (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (pow phi2 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) (+ (* 1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (* 3/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/2 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) (+ (* 1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) (* 1/4 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (pow phi2 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (pow lambda1 2) (pow lambda2 2)) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (pow lambda1 2) (pow lambda2 2))) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 2 (* lambda2 lambda1)) into (* 2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (* lambda2 lambda1))) into (- (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (+ (pow lambda1 2) (pow lambda2 2)) (- (* 2 (* lambda2 lambda1)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) into (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (* 3/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/2 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) (+ (* 1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) (* 1/4 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/4 in phi2
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (+ (* 3/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/2 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) (+ (* 1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) (* 1/4 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 3/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) in phi2
* [misc]taylor:  Taking taylor expansion of 3/2 in phi2
* [misc]backup-simplify:  Simplify 3/2 into 3/2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (sin (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow lambda2 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1/2) into 1/4
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* (pow lambda2 2) (pow lambda1 2)) into (* (pow lambda2 2) (pow lambda1 2))
* [misc]backup-simplify:  Simplify (* 1/4 (* (pow lambda2 2) (pow lambda1 2))) into (* 1/4 (* (pow lambda2 2) (pow lambda1 2)))
* [misc]backup-simplify:  Simplify (* 1 (* 1/4 (* (pow lambda2 2) (pow lambda1 2)))) into (* 1/4 (* (pow lambda2 2) (pow lambda1 2)))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (pow lambda1 2) (pow lambda2 2)) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (pow lambda1 2) (pow lambda2 2))) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 2 (* lambda2 lambda1)) into (* 2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (* lambda2 lambda1))) into (- (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (+ (pow lambda1 2) (pow lambda2 2)) (- (* 2 (* lambda2 lambda1)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (/ (* 1/4 (* (pow lambda2 2) (pow lambda1 2))) (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) into (* 1/4 (/ (* (pow lambda2 2) (pow lambda1 2)) (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) (+ (* 1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) (* 1/4 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (sin (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) (+ (* 1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) (* 1/4 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 2) phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sin (* 1/2 phi2)) (* (pow lambda1 2) phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow lambda1 2) phi2) in phi2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* (pow lambda1 2) 0) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow lambda1 2) 1) (* 0 0)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 0 (pow lambda1 2)) (* 1/2 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda1 0) (+ (* 0 0) (* 0 lambda1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow lambda1 2) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1/2 (pow lambda1 2)) (* 0 0))) into (* 1/2 (pow lambda1 2))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (+ (* 1 (* 1/2 (pow lambda1 2))) (+ (* 0 0) (* (- 1/8) 0))) into (* 1/2 (pow lambda1 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (pow lambda1 2) (pow lambda2 2)) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (pow lambda1 2) (pow lambda2 2))) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 2 (* lambda2 lambda1)) into (* 2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (* lambda2 lambda1))) into (- (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (+ (pow lambda1 2) (pow lambda2 2)) (- (* 2 (* lambda2 lambda1)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (/ (* 1/2 (pow lambda1 2)) (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) into (* 1/2 (/ (pow lambda1 2) (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) (* 1/4 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/4 in phi2
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) (* 1/4 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sin (* 1/2 phi2)) (* (pow lambda2 2) phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow lambda2 2) phi2) in phi2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* (pow lambda2 2) 0) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow lambda2 2) 1) (* 0 0)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 0 (pow lambda2 2)) (* 1/2 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (+ (* 0 0) (* 0 lambda2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow lambda2 2) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1/2 (pow lambda2 2)) (* 0 0))) into (* 1/2 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (+ (* 1 (* 1/2 (pow lambda2 2))) (+ (* 0 0) (* (- 1/8) 0))) into (* 1/2 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (pow lambda1 2) (pow lambda2 2)) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (pow lambda1 2) (pow lambda2 2))) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 2 (* lambda2 lambda1)) into (* 2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (* lambda2 lambda1))) into (- (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (+ (pow lambda1 2) (pow lambda2 2)) (- (* 2 (* lambda2 lambda1)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (/ (* 1/2 (pow lambda2 2)) (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) into (* 1/2 (/ (pow lambda2 2) (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))))
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/4 in phi2
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (sin (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 4) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1/2) into 1/4
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* (pow lambda1 2) (pow lambda1 2)) into (pow lambda1 4)
* [misc]backup-simplify:  Simplify (* 1/4 (pow lambda1 4)) into (* 1/4 (pow lambda1 4))
* [misc]backup-simplify:  Simplify (* 1 (* 1/4 (pow lambda1 4))) into (* 1/4 (pow lambda1 4))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (pow lambda1 2) (pow lambda2 2)) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (pow lambda1 2) (pow lambda2 2))) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 2 (* lambda2 lambda1)) into (* 2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (* lambda2 lambda1))) into (- (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (+ (pow lambda1 2) (pow lambda2 2)) (- (* 2 (* lambda2 lambda1)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (/ (* 1/4 (pow lambda1 4)) (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) into (* 1/4 (/ (pow lambda1 4) (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (pow lambda1 2) (pow lambda2 2)) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (pow lambda1 2) (pow lambda2 2))) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 2 (* lambda2 lambda1)) into (* 2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (* lambda2 lambda1))) into (- (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (+ (pow lambda1 2) (pow lambda2 2)) (- (* 2 (* lambda2 lambda1)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) into (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) into (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))))
* [misc]backup-simplify:  Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (pow lambda1 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (pow lambda2 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 lambda1)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (* lambda2 lambda1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (* lambda2 lambda1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) (/ 0 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))))) into 0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1/2 (* lambda2 lambda1)) into (* 1/2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (* lambda2 lambda1)) 1) into (+ 1 (* 1/2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ 0 (+ 1 (* 1/2 (* lambda2 lambda1)))) into (+ 1 (* 1/2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ 0 (+ 1 (* 1/2 (* lambda2 lambda1)))) into (+ 1 (* 1/2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ 0 (+ 1 (* 1/2 (* lambda2 lambda1)))) into (+ 1 (* 1/2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ 0 (+ 1 (* 1/2 (* lambda2 lambda1)))) into (+ 1 (* 1/2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ 0 (+ 1 (* 1/2 (* lambda2 lambda1)))) into (+ 1 (* 1/2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1/4 (pow lambda1 2)) into (* 1/4 (pow lambda1 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1/4 (pow lambda2 2)) into (* 1/4 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ (* 1/4 (pow lambda2 2)) 0) into (* 1/4 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (pow lambda2 2))) into (* 1/4 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (pow lambda2 2))) into (* 1/4 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (pow lambda2 2))) into (* 1/4 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ (* 1/4 (pow lambda1 2)) (* 1/4 (pow lambda2 2))) into (+ (* 1/4 (pow lambda1 2)) (* 1/4 (pow lambda2 2)))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 1/4 (pow lambda1 2)) (* 1/4 (pow lambda2 2)))) into (+ (* 1/4 (pow lambda1 2)) (* 1/4 (pow lambda2 2)))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 1/4 (pow lambda1 2)) (* 1/4 (pow lambda2 2)))) into (+ (* 1/4 (pow lambda1 2)) (* 1/4 (pow lambda2 2)))
* [misc]backup-simplify:  Simplify (- (+ (* 1/4 (pow lambda1 2)) (* 1/4 (pow lambda2 2)))) into (- (+ (* 1/4 (pow lambda1 2)) (* 1/4 (pow lambda2 2))))
* [misc]backup-simplify:  Simplify (+ (+ 1 (* 1/2 (* lambda2 lambda1))) (- (+ (* 1/4 (pow lambda1 2)) (* 1/4 (pow lambda2 2))))) into (- (+ 1 (* 1/2 (* lambda2 lambda1))) (+ (* 1/4 (pow lambda1 2)) (* 1/4 (pow lambda2 2))))
* [misc]backup-simplify:  Simplify (* (- (+ 1 (* 1/2 (* lambda2 lambda1))) (+ (* 1/4 (pow lambda1 2)) (* 1/4 (pow lambda2 2)))) (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))))) into (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (- (+ 1 (* 1/2 (* lambda2 lambda1))) (+ (* 1/4 (pow lambda1 2)) (* 1/4 (pow lambda2 2)))))
* [misc]backup-simplify:  Simplify (* 1/2 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (- (+ 1 (* 1/2 (* lambda2 lambda1))) (+ (* 1/4 (pow lambda1 2)) (* 1/4 (pow lambda2 2)))))) into (* 1/2 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (- (+ 1 (* 1/2 (* lambda2 lambda1))) (+ (* 1/4 (pow lambda1 2)) (* 1/4 (pow lambda2 2))))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (- (+ 1 (* 1/2 (* lambda2 lambda1))) (+ (* 1/4 (pow lambda1 2)) (* 1/4 (pow lambda2 2)))))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (- (+ 1 (* 1/2 (* lambda2 lambda1))) (+ (* 1/4 (pow lambda1 2)) (* 1/4 (pow lambda2 2))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (pow lambda1 2) (pow lambda2 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* lambda2 lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* lambda2 0) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow lambda2 2) 0) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow lambda2 2)) into (/ 1 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (pow lambda2 2))) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 1) (* 0 0)) into lambda2
* [misc]backup-simplify:  Simplify (+ (* 2 lambda2) (* 0 0)) into (* 2 lambda2)
* [misc]backup-simplify:  Simplify (- (* 2 lambda2)) into (- (* 2 lambda2))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 lambda2))) into (- (* 2 lambda2))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow lambda2 2)) (/ (- (* 2 lambda2)) (pow lambda2 2))))) into (* 2 (/ 1 (pow lambda2 3)))
* [misc]backup-simplify:  Simplify (/ (* 2 (/ 1 (pow lambda2 3))) (* 2 (sqrt (/ 1 (pow lambda2 2))))) into (/ 1 (pow lambda2 2))
* [misc]taylor:  Taking taylor expansion of (- (+ 1 (* 1/2 (* lambda2 lambda1))) (+ (* 1/4 (pow lambda1 2)) (* 1/4 (pow lambda2 2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ 1 (* 1/2 (* lambda2 lambda1))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1 in lambda1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* lambda2 lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (pow lambda1 2)) (* 1/4 (pow lambda2 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/4 (pow lambda1 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/4 in lambda1
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 1/4 (pow lambda2 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/4 in lambda1
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (* lambda2 0) into 0
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1/4 (pow lambda2 2)) into (* 1/4 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (pow lambda2 2))) into (* 1/4 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (- (* 1/4 (pow lambda2 2))) into (- (* 1/4 (pow lambda2 2)))
* [misc]backup-simplify:  Simplify (+ 1 (- (* 1/4 (pow lambda2 2)))) into (- 1 (* 1/4 (pow lambda2 2)))
* [misc]backup-simplify:  Simplify (* (/ 1 lambda2) (- 1 (* 1/4 (pow lambda2 2)))) into (/ (- 1 (* 1/4 (pow lambda2 2))) lambda2)
* [misc]backup-simplify:  Simplify (* 1/2 (/ (- 1 (* 1/4 (pow lambda2 2))) lambda2)) into (* 1/2 (/ (- 1 (* 1/4 (pow lambda2 2))) lambda2))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (- 1 (* 1/4 (pow lambda2 2))) lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (* 1/4 (pow lambda2 2))) lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of (- 1 (* 1/4 (pow lambda2 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1 in lambda2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 1/4 (pow lambda2 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/4 in lambda2
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 lambda1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1/2 (* lambda2 lambda1))) into (* 1/2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (* 1/2 (* lambda2 lambda1))) (* 0 0)) into (* 1/2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (+ (* 2 (* 1/2 (* lambda2 lambda1))) (* 0 0)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1/2 (pow lambda2 2))) into (* 1/2 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (* 1/2 (pow lambda2 2))) (* 0 0)) into (* 1/2 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1/2 (pow lambda1 2))) into (* 1/2 (pow lambda1 2))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (* 1/2 (pow lambda1 2))) (* 0 0)) into (* 1/2 (pow lambda1 2))
* [misc]backup-simplify:  Simplify (+ 2 (* 1/2 (pow lambda1 2))) into (+ (* 1/2 (pow lambda1 2)) 2)
* [misc]backup-simplify:  Simplify (+ (* 1/2 (pow lambda2 2)) (+ (* 1/2 (pow lambda1 2)) 2)) into (+ (* 1/2 (pow lambda1 2)) (+ (* 1/2 (pow lambda2 2)) 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (pow lambda1 2)) (+ (* 1/2 (pow lambda2 2)) 2))) into (- (+ (* 1/2 (pow lambda1 2)) (+ (* 1/2 (pow lambda2 2)) 2)))
* [misc]backup-simplify:  Simplify (+ (* lambda2 lambda1) (- (+ (* 1/2 (pow lambda1 2)) (+ (* 1/2 (pow lambda2 2)) 2)))) into (- (* lambda2 lambda1) (+ (* 1/2 (pow lambda1 2)) (+ (* 1/2 (pow lambda2 2)) 2)))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (- (* lambda2 lambda1) (+ (* 1/2 (pow lambda1 2)) (+ (* 1/2 (pow lambda2 2)) 2)))) (* 0 0)) into (- (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (* lambda2 lambda1)) (+ (* 1/2 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (pow lambda2 2))) (+ (* 2 (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))))) (* 1/2 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (pow lambda1 2))))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (* lambda2 lambda1)) (+ (* 1/2 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (pow lambda2 2))) (+ (* 2 (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))))) (* 1/2 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (pow lambda1 2))))))) (* 0 0)) into (- (* 1/2 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (* lambda2 lambda1))) (+ (* 1/4 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (pow lambda1 2))) (+ (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (* 1/4 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (pow lambda2 2))))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (* lambda2 lambda1))) (+ (* 1/4 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (pow lambda1 2))) (+ (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (* 1/4 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (pow lambda2 2)))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (* lambda2 lambda1))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (* lambda2 lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (pow lambda1 2) (pow lambda2 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* lambda2 lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* lambda2 0) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow lambda2 2) 0) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow lambda2 2)) into (/ 1 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (pow lambda2 2))) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 1) (* 0 0)) into lambda2
* [misc]backup-simplify:  Simplify (+ (* 2 lambda2) (* 0 0)) into (* 2 lambda2)
* [misc]backup-simplify:  Simplify (- (* 2 lambda2)) into (- (* 2 lambda2))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 lambda2))) into (- (* 2 lambda2))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow lambda2 2)) (/ (- (* 2 lambda2)) (pow lambda2 2))))) into (* 2 (/ 1 (pow lambda2 3)))
* [misc]backup-simplify:  Simplify (/ (* 2 (/ 1 (pow lambda2 3))) (* 2 (sqrt (/ 1 (pow lambda2 2))))) into (/ 1 (pow lambda2 2))
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (pow lambda1 2))) (+ (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (* 1/4 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (pow lambda2 2))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (pow lambda1 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/4 in lambda1
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (pow lambda1 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (pow lambda1 2) (pow lambda2 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* lambda2 lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* lambda2 0) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow lambda2 2) 0) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow lambda2 2)) into (/ 1 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (pow lambda2 2))) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 1) (* 0 0)) into lambda2
* [misc]backup-simplify:  Simplify (+ (* 2 lambda2) (* 0 0)) into (* 2 lambda2)
* [misc]backup-simplify:  Simplify (- (* 2 lambda2)) into (- (* 2 lambda2))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 lambda2))) into (- (* 2 lambda2))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow lambda2 2)) (/ (- (* 2 lambda2)) (pow lambda2 2))))) into (* 2 (/ 1 (pow lambda2 3)))
* [misc]backup-simplify:  Simplify (/ (* 2 (/ 1 (pow lambda2 3))) (* 2 (sqrt (/ 1 (pow lambda2 2))))) into (/ 1 (pow lambda2 2))
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (* 1/4 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (pow lambda2 2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (pow lambda1 2) (pow lambda2 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* lambda2 lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* lambda2 0) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow lambda2 2) 0) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow lambda2 2)) into (/ 1 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (pow lambda2 2))) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 1) (* 0 0)) into lambda2
* [misc]backup-simplify:  Simplify (+ (* 2 lambda2) (* 0 0)) into (* 2 lambda2)
* [misc]backup-simplify:  Simplify (- (* 2 lambda2)) into (- (* 2 lambda2))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 lambda2))) into (- (* 2 lambda2))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow lambda2 2)) (/ (- (* 2 lambda2)) (pow lambda2 2))))) into (* 2 (/ 1 (pow lambda2 3)))
* [misc]backup-simplify:  Simplify (/ (* 2 (/ 1 (pow lambda2 3))) (* 2 (sqrt (/ 1 (pow lambda2 2))))) into (/ 1 (pow lambda2 2))
* [misc]taylor:  Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (pow lambda2 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/4 in lambda1
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (pow lambda2 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (pow lambda1 2) (pow lambda2 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* lambda2 lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* lambda2 0) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow lambda2 2) 0) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow lambda2 2)) into (/ 1 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (pow lambda2 2))) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 1) (* 0 0)) into lambda2
* [misc]backup-simplify:  Simplify (+ (* 2 lambda2) (* 0 0)) into (* 2 lambda2)
* [misc]backup-simplify:  Simplify (- (* 2 lambda2)) into (- (* 2 lambda2))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 lambda2))) into (- (* 2 lambda2))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow lambda2 2)) (/ (- (* 2 lambda2)) (pow lambda2 2))))) into (* 2 (/ 1 (pow lambda2 3)))
* [misc]backup-simplify:  Simplify (/ (* 2 (/ 1 (pow lambda2 3))) (* 2 (sqrt (/ 1 (pow lambda2 2))))) into (/ 1 (pow lambda2 2))
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (* lambda2 0) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 lambda2) 0) into 0
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* (/ 1 lambda2) (pow lambda2 2)) into lambda2
* [misc]backup-simplify:  Simplify (* 1/4 lambda2) into (* 1/4 lambda2)
* [misc]backup-simplify:  Simplify (+ (/ 1 lambda2) (* 1/4 lambda2)) into (+ (* 1/4 lambda2) (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 1/4 lambda2) (/ 1 lambda2))) into (+ (/ 1 lambda2) (* 1/4 lambda2))
* [misc]backup-simplify:  Simplify (- (+ (/ 1 lambda2) (* 1/4 lambda2))) into (- (+ (* 1/4 lambda2) (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 lambda2) (/ 1 lambda2)))) into (- (+ (/ 1 lambda2) (* 1/4 lambda2)))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 lambda2) (* 1/4 lambda2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 lambda2) (* 1/4 lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* 1/4 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/4 in lambda2
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [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 (* 1/4 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 1) into 1
* [misc]backup-simplify:  Simplify (+ (* lambda1 0) (+ (* 0 0) (* 0 lambda1))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (+ (* 1 (- 1/8)) (+ (* 0 0) (* (- 1/8) 1))) into -1/4
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* -1/4 (pow lambda1 2)))) into (- (* 1/4 (pow lambda1 2)))
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (+ (* 0 0) (* 0 lambda2))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (+ (* 1 (- 1/8)) (+ (* 0 0) (* (- 1/8) 1))) into -1/4
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* -1/4 (pow lambda2 2)))) into (- (* 1/4 (pow lambda2 2)))
* [misc]backup-simplify:  Simplify (+ (- (* 1/4 (pow lambda1 2))) (- (* 1/4 (pow lambda2 2)))) into (- (+ (* 1/4 (pow lambda1 2)) (* 1/4 (pow lambda2 2))))
* [misc]backup-simplify:  Simplify (+ 1 (- (+ (* 1/4 (pow lambda1 2)) (* 1/4 (pow lambda2 2))))) into (- 1 (+ (* 1/4 (pow lambda1 2)) (* 1/4 (pow lambda2 2))))
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (+ (* 0 0) (* 0 lambda1))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (+ (* 1 (- 1/8)) (+ (* 0 0) (* (- 1/8) 1))) into -1/4
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* -1/4 (* lambda2 lambda1)))) into (- (* 1/4 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (* 2 (- (* 1/4 (* lambda2 lambda1)))) (+ (* 0 0) (* 0 (* lambda2 lambda1)))) into (- (* 1/2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (- (- (* 1/2 (* lambda2 lambda1)))) into (* 1/2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (+ (- 1 (+ (* 1/4 (pow lambda1 2)) (* 1/4 (pow lambda2 2)))) (* 1/2 (* lambda2 lambda1))) into (- (+ 1 (* 1/2 (* lambda2 lambda1))) (+ (* 1/4 (pow lambda1 2)) (* 1/4 (pow lambda2 2))))
* [misc]backup-simplify:  Simplify (/ (- (- (+ 1 (* 1/2 (* lambda2 lambda1))) (+ (* 1/4 (pow lambda1 2)) (* 1/4 (pow lambda2 2)))) (pow 0 2) (+)) (* 2 (sqrt (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))))) into (* 1/2 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (- (+ 1 (* 1/2 (* lambda2 lambda1))) (+ (* 1/4 (pow lambda1 2)) (* 1/4 (pow lambda2 2))))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (- (+ 1 (* 1/2 (* lambda2 lambda1))) (+ (* 1/4 (pow lambda1 2)) (* 1/4 (pow lambda2 2)))))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (- (+ 1 (* 1/2 (* lambda2 lambda1))) (+ (* 1/4 (pow lambda1 2)) (* 1/4 (pow lambda2 2))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (pow lambda1 2) (pow lambda2 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* lambda2 lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* lambda2 0) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow lambda2 2) 0) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow lambda2 2)) into (/ 1 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (pow lambda2 2))) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 1) (* 0 0)) into lambda2
* [misc]backup-simplify:  Simplify (+ (* 2 lambda2) (* 0 0)) into (* 2 lambda2)
* [misc]backup-simplify:  Simplify (- (* 2 lambda2)) into (- (* 2 lambda2))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 lambda2))) into (- (* 2 lambda2))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow lambda2 2)) (/ (- (* 2 lambda2)) (pow lambda2 2))))) into (* 2 (/ 1 (pow lambda2 3)))
* [misc]backup-simplify:  Simplify (/ (* 2 (/ 1 (pow lambda2 3))) (* 2 (sqrt (/ 1 (pow lambda2 2))))) into (/ 1 (pow lambda2 2))
* [misc]taylor:  Taking taylor expansion of (- (+ 1 (* 1/2 (* lambda2 lambda1))) (+ (* 1/4 (pow lambda1 2)) (* 1/4 (pow lambda2 2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ 1 (* 1/2 (* lambda2 lambda1))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1 in lambda1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* lambda2 lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (pow lambda1 2)) (* 1/4 (pow lambda2 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/4 (pow lambda1 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/4 in lambda1
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 1/4 (pow lambda2 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/4 in lambda1
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (* lambda2 0) into 0
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1/4 (pow lambda2 2)) into (* 1/4 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (pow lambda2 2))) into (* 1/4 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (- (* 1/4 (pow lambda2 2))) into (- (* 1/4 (pow lambda2 2)))
* [misc]backup-simplify:  Simplify (+ 1 (- (* 1/4 (pow lambda2 2)))) into (- 1 (* 1/4 (pow lambda2 2)))
* [misc]backup-simplify:  Simplify (* (/ 1 lambda2) (- 1 (* 1/4 (pow lambda2 2)))) into (/ (- 1 (* 1/4 (pow lambda2 2))) lambda2)
* [misc]backup-simplify:  Simplify (* 1/2 (/ (- 1 (* 1/4 (pow lambda2 2))) lambda2)) into (* 1/2 (/ (- 1 (* 1/4 (pow lambda2 2))) lambda2))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (- 1 (* 1/4 (pow lambda2 2))) lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (* 1/4 (pow lambda2 2))) lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of (- 1 (* 1/4 (pow lambda2 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1 in lambda2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 1/4 (pow lambda2 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/4 in lambda2
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (+ (* 0 0) (* 0 lambda2))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 lambda2) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow -1 2) (+)) (* 2 lambda2)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (* lambda2 (* 1 (* 1 1)))) (* -1 (* 1 (* lambda1 (* 1 1))))) into (- lambda2 lambda1)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))) (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) in (phi1 phi2 lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))) (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))) (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
* [misc]backup-simplify:  Simplify (* (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 lambda1) 0) into (/ 1 lambda1)
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (/ 1 lambda1) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1)
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 lambda1) 0) into (/ 1 lambda1)
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (/ 1 lambda1) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1)
* [misc]backup-simplify:  Simplify (+ (* (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1)) (* (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1) (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)))
* [misc]backup-simplify:  Simplify (/ (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) (* 2 (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))) (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))) (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2))
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2))) (* (- (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))
* [misc]backup-simplify:  Simplify (/ (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))) (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))) (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [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 (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 phi1) 0) into (/ 1 phi1)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 phi1) 0) into (/ 1 phi1)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ 1 phi1)) (* (/ 1 phi1) -1)) into (- (* 2 (/ 1 phi1)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 phi1))) 0) into (- (* 2 (/ 1 phi1)))
* [misc]backup-simplify:  Simplify (/ (- (* 2 (/ 1 phi1))) (* 2 (sqrt 1))) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))) (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))) (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 phi2)) into (- (/ 1 phi2))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 phi2))) into (- (/ 1 phi2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 phi2)) into (- (/ 1 phi2))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 phi2))) into (- (/ 1 phi2))
* [misc]backup-simplify:  Simplify (+ (* 1 (- (/ 1 phi2))) (* (- (/ 1 phi2)) 1)) into (- (* 2 (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 phi2))) 0) into (- (* 2 (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (/ (- (* 2 (/ 1 phi2))) (* 2 (sqrt 1))) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))) (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))) (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 phi2)) into (- (/ 1 phi2))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 phi2))) into (- (/ 1 phi2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 phi2)) into (- (/ 1 phi2))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 phi2))) into (- (/ 1 phi2))
* [misc]backup-simplify:  Simplify (+ (* 1 (- (/ 1 phi2))) (* (- (/ 1 phi2)) 1)) into (- (* 2 (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 phi2))) 0) into (- (* 2 (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (/ (- (* 2 (/ 1 phi2))) (* 2 (sqrt 1))) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of 1 in phi2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ -1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of -1 in phi2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 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 lambda1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of 1 in lambda1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (/ 1 phi2)) (- (/ 1 phi2))) (* 0 1))) into (/ 1 (pow phi2 2))
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (* (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2)))) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow phi2 2)) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) into (- (+ (/ 1 (pow phi2 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))
* [misc]backup-simplify:  Simplify (/ (- (- (+ (/ 1 (pow phi2 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) (pow (/ -1 phi2) 2) (+)) (* 2 1)) into (* 1/2 (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of -1 in lambda2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of 1 in lambda2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (/ 1 phi2)) 0) (+ (* 0 (- (/ 1 phi2))) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 lambda1) (/ 1 lambda2)) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 lambda1) (/ 1 lambda2)) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* (/ -1 phi2) (* 1/2 (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))))))) (* 2 1)) into (* 1/2 (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* (pow lambda2 2) phi2)) (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* (pow lambda1 2) phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 (* lambda1 phi2))))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* (pow lambda2 2) phi2)) (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* (pow lambda1 2) phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 (* lambda1 phi2)))))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* (pow lambda2 2) phi2)) (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* (pow lambda1 2) phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 (* lambda1 phi2))))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* (pow lambda2 2) phi2)) (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* (pow lambda1 2) phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* (pow lambda2 2) phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (pow lambda2 2) phi2) in phi2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* (pow lambda2 2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow lambda2 2) 1) (* 0 0)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* (pow lambda1 2) phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (pow lambda1 2) phi2) in phi2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* (pow lambda1 2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow lambda1 2) 1) (* 0 0)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 (* lambda1 phi2)))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 (* lambda1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* lambda2 (* lambda1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* lambda1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (* lambda1 0) into 0
* [misc]backup-simplify:  Simplify (* lambda2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda1 1) (* 0 0)) into lambda1
* [misc]backup-simplify:  Simplify (+ (* lambda2 lambda1) (* 0 0)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2))) into (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)))
* [misc]backup-simplify:  Simplify (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))
* [misc]backup-simplify:  Simplify (+ (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2))) (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) into (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))
* [misc]backup-simplify:  Simplify (* 1/2 (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) into (* 1/2 (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in lambda1
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (* lambda2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 1) (* 0 0)) into lambda2
* [misc]backup-simplify:  Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))
* [misc]backup-simplify:  Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) (* 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))
* [misc]taylor:  Taking taylor expansion of (- (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (- (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (- (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]backup-simplify:  Simplify (- (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (- (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]backup-simplify:  Simplify (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2))) into (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)))
* [misc]backup-simplify:  Simplify (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))
* [misc]backup-simplify:  Simplify (+ (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2))) (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) into (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))
* [misc]backup-simplify:  Simplify (* 1/2 (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) into (* 1/2 (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in lambda1
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (* lambda2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 1) (* 0 0)) into lambda2
* [misc]backup-simplify:  Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))
* [misc]backup-simplify:  Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) (* 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))
* [misc]taylor:  Taking taylor expansion of (- (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (- (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (- (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]backup-simplify:  Simplify (- (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (- (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (+ (* -1 (* 1 (* 1 (* (/ 1 (/ 1 phi2)) 1)))) (+ (* (- (pow (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) 2)) (* (/ 1 (/ 1 lambda2)) (* (/ 1 (/ 1 lambda1)) (* 1 (/ 1 phi1))))) (* (- (pow (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) 2)) (* (/ 1 (/ 1 lambda2)) (* (/ 1 (/ 1 lambda1)) (* (/ 1 (/ 1 phi2)) (pow (/ 1 phi1) 2))))))) into (- (+ (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) phi1) (+ (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 (* lambda1 phi2))) (pow phi1 2)) phi2)))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))) (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) in (phi1 phi2 lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))) (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))) (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ -1 phi2) (/ -1 phi1)) into (- (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 phi1) (/ 1 phi2))) 2) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ -1 phi2) (/ -1 phi1)) into (- (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 phi1) (/ 1 phi2))) 2) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1 lambda1) 0) into (- (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1 lambda1) 0) into (- (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1))
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1))) (* (- (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1)) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)))
* [misc]backup-simplify:  Simplify (/ (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) (* 2 (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))) (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))) (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ -1 phi2) (/ -1 phi1)) into (- (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 phi1) (/ 1 phi2))) 2) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ -1 phi2) (/ -1 phi1)) into (- (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 phi1) (/ 1 phi2))) 2) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
* [misc]backup-simplify:  Simplify (* (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ -1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (/ 1 lambda2) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ -1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (/ 1 lambda2) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)
* [misc]backup-simplify:  Simplify (+ (* (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) (* (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2) (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))
* [misc]backup-simplify:  Simplify (/ (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))) (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))) (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- phi1)) (/ 1 (- phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- phi1)) (/ 1 (- phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [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 (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1 phi1) 0) into (- (/ 1 phi1))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1 phi1) 0) into (- (/ 1 phi1))
* [misc]backup-simplify:  Simplify (+ (* 1 (- (/ 1 phi1))) (* (- (/ 1 phi1)) 1)) into (- (* 2 (/ 1 phi1)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 phi1))) 0) into (- (* 2 (/ 1 phi1)))
* [misc]backup-simplify:  Simplify (/ (- (* 2 (/ 1 phi1))) (* 2 (sqrt 1))) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))) (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))) (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- phi1)) (/ 1 (- phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- phi1)) (/ 1 (- phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ -1 phi2)) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 phi2)) into (/ 1 phi2)
* [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 phi2)) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 phi2)) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ 1 phi2)) (* (/ 1 phi2) -1)) into (- (* 2 (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 phi2))) 0) into (- (* 2 (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (/ (- (* 2 (/ 1 phi2))) (* 2 (sqrt 1))) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))) (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))) (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- phi1)) (/ 1 (- phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- phi1)) (/ 1 (- phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ -1 phi2)) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 phi2)) into (/ 1 phi2)
* [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 phi2)) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 phi2)) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ 1 phi2)) (* (/ 1 phi2) -1)) into (- (* 2 (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 phi2))) 0) into (- (* 2 (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (/ (- (* 2 (/ 1 phi2))) (* 2 (sqrt 1))) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of 1 in phi2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ -1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of -1 in phi2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 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 lambda1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of 1 in lambda1
* [misc]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 (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (/ 1 phi2) (/ 1 phi2)) (* 0 -1))) into (/ 1 (pow phi2 2))
* [misc]backup-simplify:  Simplify (- (/ -1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (- (/ -1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (* (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow phi2 2)) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (- (+ (/ 1 (pow phi2 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))
* [misc]backup-simplify:  Simplify (/ (- (- (+ (/ 1 (pow phi2 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) (pow (/ -1 phi2) 2) (+)) (* 2 1)) into (* 1/2 (- (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (- (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of -1/2 in phi2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2))
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of -1/2 in phi2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of -1/2 in phi2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (* lambda1 lambda2) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of -1 in lambda2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of 1 in lambda2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (/ 1 phi2) 0) (+ (* 0 (/ 1 phi2)) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 lambda1) (/ 0 (- lambda1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 lambda2) (/ 1 lambda1)) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 lambda1) (/ 0 (- lambda1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 lambda2) (/ 1 lambda1)) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1))) 0) (* 0 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* (/ -1 phi2) (* 1/2 (- (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))))))) (* 2 1)) into (* 1/2 (- (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* (pow lambda1 2) phi2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* (pow lambda2 2) phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 (* lambda2 phi2))))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (- (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* (pow lambda1 2) phi2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* (pow lambda2 2) phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 (* lambda2 phi2)))))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* (pow lambda1 2) phi2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* (pow lambda2 2) phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 (* lambda2 phi2))))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* (pow lambda1 2) phi2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* (pow lambda2 2) phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* (pow lambda1 2) phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of -1/2 in phi2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (pow lambda1 2) phi2) in phi2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* (pow lambda1 2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow lambda1 2) 1) (* 0 0)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2))
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* (pow lambda2 2) phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of -1/2 in phi2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (pow lambda2 2) phi2) in phi2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* (pow lambda2 2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow lambda2 2) 1) (* 0 0)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 (* lambda2 phi2)))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 (* lambda2 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of -1/2 in phi2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* lambda1 (* lambda2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* lambda2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (* lambda2 0) into 0
* [misc]backup-simplify:  Simplify (* lambda1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 1) (* 0 0)) into lambda2
* [misc]backup-simplify:  Simplify (+ (* lambda1 lambda2) (* 0 0)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))
* [misc]backup-simplify:  Simplify (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) into (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))
* [misc]backup-simplify:  Simplify (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))
* [misc]backup-simplify:  Simplify (+ (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) into (- (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))
* [misc]backup-simplify:  Simplify (* 1/2 (- (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) into (* 1/2 (- (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (- (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
* [misc]taylor:  Taking taylor expansion of -1/2 in lambda1
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
* [misc]taylor:  Taking taylor expansion of -1/2 in lambda1
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in lambda1
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
* [misc]taylor:  Taking taylor expansion of -1/2 in lambda1
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* lambda1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (* 0 lambda2) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 lambda2)) into lambda2
* [misc]backup-simplify:  Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))
* [misc]backup-simplify:  Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) (* 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))
* [misc]taylor:  Taking taylor expansion of (- (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of -1/2 in lambda2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (- (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (- (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]backup-simplify:  Simplify (- (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (- (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]backup-simplify:  Simplify (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) into (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))
* [misc]backup-simplify:  Simplify (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))
* [misc]backup-simplify:  Simplify (+ (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) into (- (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))
* [misc]backup-simplify:  Simplify (* 1/2 (- (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) into (* 1/2 (- (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (- (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
* [misc]taylor:  Taking taylor expansion of -1/2 in lambda1
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
* [misc]taylor:  Taking taylor expansion of -1/2 in lambda1
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in lambda1
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
* [misc]taylor:  Taking taylor expansion of -1/2 in lambda1
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* lambda1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (* 0 lambda2) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 lambda2)) into lambda2
* [misc]backup-simplify:  Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))
* [misc]backup-simplify:  Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) (* 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))
* [misc]taylor:  Taking taylor expansion of (- (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of -1/2 in lambda2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (- (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (- (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]backup-simplify:  Simplify (- (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (- (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (+ (* -1 (* 1 (* 1 (* (/ 1 (/ 1 (- phi2))) 1)))) (+ (* (- (pow (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) 2)) (* (/ 1 (/ 1 (- lambda2))) (* (/ 1 (/ 1 (- lambda1))) (* 1 (/ 1 (- phi1)))))) (* (- (pow (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) 2)) (* (/ 1 (/ 1 (- lambda2))) (* (/ 1 (/ 1 (- lambda1))) (* (/ 1 (/ 1 (- phi2))) (pow (/ 1 (- phi1)) 2))))))) into (+ (/ (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) phi1) (+ (/ (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) phi2))) (pow phi1 2)) phi2))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 1 2 2 2)
* [misc]approximate:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in (phi2 phi1) around 0
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 0) into phi2
* [misc]backup-simplify:  Simplify (/ phi2 2) into (* 1/2 phi2)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 phi1) into phi1
* [misc]backup-simplify:  Simplify (/ phi1 2) into (* 1/2 phi1)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1))
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 phi1) into phi1
* [misc]backup-simplify:  Simplify (/ phi1 2) into (* 1/2 phi1)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1))
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of 1/2 in phi1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 2) (+ (* (* 1/2 phi1) (/ 0 2)))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1)))
* [misc]backup-simplify:  Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (sin (* 1/2 phi1)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (sin (* 1/2 phi1))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/2 in phi1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of 1/2 in phi1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 phi1)) (- 1/8)) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (cos (* 1/2 phi1))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 phi1) (/ 0 2)) (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 phi1)) 0) (+ (* 0 1/2) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (- (* 1/8 (cos (* 1/2 phi1)))) 0) into (- (* 1/8 (cos (* 1/2 phi1))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/8 (cos (* 1/2 phi1)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/8 (cos (* 1/2 phi1))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/8 in phi1
* [misc]backup-simplify:  Simplify 1/8 into 1/8
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of 1/2 in phi1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (* 1/8 1) into 1/8
* [misc]backup-simplify:  Simplify (- 1/8) into -1/8
* [misc]backup-simplify:  Simplify -1/8 into -1/8
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1/2 1/2) (* 0 0)) into 1/4
* [misc]backup-simplify:  Simplify (- 1/4) into -1/4
* [misc]backup-simplify:  Simplify -1/4 into -1/4
* [misc]backup-simplify:  Simplify (+ (* -1/4 (* phi1 phi2)) (+ (* -1/8 (pow (* 1 phi2) 2)) 1)) into (- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi2 2))))
* [misc]approximate:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in (phi2 phi1) around 0
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/2 in phi1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]approximate:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in (phi2 phi1) around 0
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of -1/2 in phi1
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) into (cos (* 1/2 (+ phi1 phi2)))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1 1 2 1 2)
* [misc]approximate:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in (phi2 phi1) around 0
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 0) into phi2
* [misc]backup-simplify:  Simplify (/ phi2 2) into (* 1/2 phi2)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 phi1) into phi1
* [misc]backup-simplify:  Simplify (/ phi1 2) into (* 1/2 phi1)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1))
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 phi1) into phi1
* [misc]backup-simplify:  Simplify (/ phi1 2) into (* 1/2 phi1)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1))
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of 1/2 in phi1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 2) (+ (* (* 1/2 phi1) (/ 0 2)))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1)))
* [misc]backup-simplify:  Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (sin (* 1/2 phi1)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (sin (* 1/2 phi1))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/2 in phi1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of 1/2 in phi1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 phi1)) (- 1/8)) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (cos (* 1/2 phi1))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 phi1) (/ 0 2)) (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 phi1)) 0) (+ (* 0 1/2) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (- (* 1/8 (cos (* 1/2 phi1)))) 0) into (- (* 1/8 (cos (* 1/2 phi1))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/8 (cos (* 1/2 phi1)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/8 (cos (* 1/2 phi1))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/8 in phi1
* [misc]backup-simplify:  Simplify 1/8 into 1/8
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of 1/2 in phi1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (* 1/8 1) into 1/8
* [misc]backup-simplify:  Simplify (- 1/8) into -1/8
* [misc]backup-simplify:  Simplify -1/8 into -1/8
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1/2 1/2) (* 0 0)) into 1/4
* [misc]backup-simplify:  Simplify (- 1/4) into -1/4
* [misc]backup-simplify:  Simplify -1/4 into -1/4
* [misc]backup-simplify:  Simplify (+ (* -1/4 (* phi1 phi2)) (+ (* -1/8 (pow (* 1 phi2) 2)) 1)) into (- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi2 2))))
* [misc]approximate:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in (phi2 phi1) around 0
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/2 in phi1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]approximate:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in (phi2 phi1) around 0
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of -1/2 in phi1
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) into (cos (* 1/2 (+ phi1 phi2)))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1 1 2)
* [misc]approximate:  Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) in (lambda1 lambda2 phi2 phi1) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 0) into phi2
* [misc]backup-simplify:  Simplify (/ phi2 2) into (* 1/2 phi2)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 0) into phi2
* [misc]backup-simplify:  Simplify (/ phi2 2) into (* 1/2 phi2)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
* [misc]taylor:  Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 phi1) into phi1
* [misc]backup-simplify:  Simplify (/ phi1 2) into (* 1/2 phi1)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1))
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 phi1) into phi1
* [misc]backup-simplify:  Simplify (/ phi1 2) into (* 1/2 phi1)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1))
* [misc]taylor:  Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 phi1) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 phi1) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]taylor:  Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 phi1) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 phi1) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]taylor:  Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 phi1) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 phi1) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (- lambda2)) into (- lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (- lambda2)) into (- lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
* [misc]backup-simplify:  Simplify (* (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))
* [misc]taylor:  Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ phi1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (+ phi1 phi2) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (- lambda2) 0) (* 1 (cos (* 1/2 (+ phi1 phi2))))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (- lambda2) 0) (* 1 (cos (* 1/2 (+ phi1 phi2))))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (+ (* (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) (cos (* 1/2 (+ phi1 phi2)))) (* (cos (* 1/2 (+ phi1 phi2))) (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ phi1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (+ phi1 phi2) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
* [misc]backup-simplify:  Simplify (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- lambda2) 0) (+ (* 1 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- lambda2) 0) (+ (* 1 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) 0) (+ (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) (* 0 (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ phi1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (+ phi1 phi2) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ phi1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ phi1 0) into phi1
* [misc]backup-simplify:  Simplify (* 1/2 phi1) into (* 1/2 phi1)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2)
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi1)) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of 1/2 in phi1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
* [misc]backup-simplify:  Simplify (+ (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 0 0)) into (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))
* [misc]backup-simplify:  Simplify (- (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ phi1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ phi1 0) into phi1
* [misc]backup-simplify:  Simplify (* 1/2 phi1) into (* 1/2 phi1)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2)
* [misc]backup-simplify:  Simplify (* 2 (pow (cos (* 1/2 phi1)) 2)) into (* 2 (pow (cos (* 1/2 phi1)) 2))
* [misc]backup-simplify:  Simplify (- (* 2 (pow (cos (* 1/2 phi1)) 2))) into (- (* 2 (pow (cos (* 1/2 phi1)) 2)))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (pow (cos (* 1/2 phi1)) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 2 (pow (cos (* 1/2 phi1)) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi1)) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of 1/2 in phi1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (- 2) into -2
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
* [misc]backup-simplify:  Simplify (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ phi1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ phi1 0) into phi1
* [misc]backup-simplify:  Simplify (* 1/2 phi1) into (* 1/2 phi1)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2)
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi1)) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of 1/2 in phi1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (pow (* 1 (* 1 (* lambda2 1))) 2)) (+ (* -2 (* 1 (* 1 (* lambda2 lambda1)))) (* 1 (pow (* 1 (* 1 (* 1 lambda1))) 2)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]approximate:  Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) in (lambda1 lambda2 phi2 phi1) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2))
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2))) (* (- (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (/ 1 lambda2)) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (/ 1 lambda2)) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* (- (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) (- (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2))) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/2 in phi1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]backup-simplify:  Simplify (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]backup-simplify:  Simplify (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/2 in phi1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]backup-simplify:  Simplify (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))
* [misc]backup-simplify:  Simplify (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/2 in phi1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) 2) (pow (* 1 (* 1 (* 1 (/ 1 (/ 1 lambda1))))) 2)) (+ (* (- (* 2 (pow (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) 2))) (* 1 (* 1 (* (/ 1 (/ 1 lambda2)) (/ 1 (/ 1 lambda1)))))) (* (pow (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) 2) (pow (* 1 (* 1 (* (/ 1 (/ 1 lambda2)) 1))) 2)))) into (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))))
* [misc]approximate:  Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) in (lambda1 lambda2 phi2 phi1) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ -1 phi2) (/ -1 phi1)) into (- (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 phi1) (/ 1 phi2))) 2) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ -1 phi2) (/ -1 phi1)) into (- (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 phi1) (/ 1 phi2))) 2) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ -1 phi2) (/ -1 phi1)) into (- (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 phi1) (/ 1 phi2))) 2) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ -1 phi2) (/ -1 phi1)) into (- (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 phi1) (/ 1 phi2))) 2) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ -1 phi2) (/ -1 phi1)) into (- (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 phi1) (/ 1 phi2))) 2) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ -1 phi2) (/ -1 phi1)) into (- (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 phi1) (/ 1 phi2))) 2) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
* [misc]backup-simplify:  Simplify (* (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]taylor:  Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of -1/2 in lambda2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ -1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (/ 1 lambda2) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ -1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (/ 1 lambda2) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)
* [misc]backup-simplify:  Simplify (+ (* (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) (* (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2) (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of -1/2 in lambda2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-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 (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (/ 1 lambda2) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-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 (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (/ 1 lambda2) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 0) (+ (* (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2) (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) (* 0 (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of -1/2 in lambda2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]taylor:  Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of -1/2 in phi2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]taylor:  Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of -1/2 in phi1
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]backup-simplify:  Simplify (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of -1/2 in phi2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]backup-simplify:  Simplify (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of -1/2 in phi1
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]backup-simplify:  Simplify (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))
* [misc]backup-simplify:  Simplify (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]taylor:  Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of -1/2 in phi2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]taylor:  Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of -1/2 in phi1
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) 2) (pow (* 1 (* 1 (* 1 (/ 1 (/ 1 (- lambda1)))))) 2)) (+ (* (- (* 2 (pow (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) 2))) (* 1 (* 1 (* (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))))) (* (pow (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) 2) (pow (* 1 (* 1 (* (/ 1 (/ 1 (- lambda2))) 1))) 2)))) into (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (pow (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) 1/2) R))>
* * * * [misc]progress:  [ 2 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (pow (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) 1) R))>
* * * * [misc]progress:  [ 3 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) R))>
* * * * [misc]progress:  [ 4 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) R))>
* * * * [misc]progress:  [ 5 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (cbrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) R))>
* * * * [misc]progress:  [ 6 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (cbrt (* (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) R))>
* * * * [misc]progress:  [ 7 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (* (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (190 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (fabs (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (sqrt (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) R))
* * * * [misc]progress:  [ 8 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (184 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) R))
* * * * [misc]progress:  [ 9 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt 1) (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) R))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* 1 (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) R))
* * * * [misc]progress:  [ 10 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (34 enodes)
* * [misc]simplify:  iters left: 5 (88 enodes)
* * [misc]simplify:  iters left: 4 (328 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 11 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (98 enodes)
* * [misc]simplify:  iters left: 4 (364 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) R))
* * * * [misc]progress:  [ 12 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (98 enodes)
* * [misc]simplify:  iters left: 4 (362 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 13 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (76 enodes)
* * [misc]simplify:  iters left: 4 (268 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (* (+ lambda1 lambda2) (- (pow phi1 3) (pow phi2 3))) (* (+ lambda1 lambda2) (- (pow phi1 3) (pow phi2 3))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (* (+ lambda1 lambda2) (- (pow phi1 3) (pow phi2 3))) (* (+ lambda1 lambda2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) R))
* * * * [misc]progress:  [ 14 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (35 enodes)
* * [misc]simplify:  iters left: 5 (91 enodes)
* * [misc]simplify:  iters left: 4 (299 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 15 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (+ lambda1 lambda2)) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (+ lambda1 lambda2)))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (+ lambda1 lambda2)) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (78 enodes)
* * [misc]simplify:  iters left: 4 (260 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (+ lambda1 lambda2) (- (pow phi1 3) (pow phi2 3))) (- (pow phi1 3) (pow phi2 3))) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (+ lambda1 lambda2) (- (pow phi1 3) (pow phi2 3))) (- (pow phi1 3) (pow phi2 3))) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (+ lambda1 lambda2)))) R))
* * * * [misc]progress:  [ 16 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (35 enodes)
* * [misc]simplify:  iters left: 5 (91 enodes)
* * [misc]simplify:  iters left: 4 (299 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 17 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (+ lambda1 lambda2)) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (+ lambda1 lambda2)))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (+ lambda1 lambda2)) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (78 enodes)
* * [misc]simplify:  iters left: 4 (260 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (+ lambda1 lambda2) (- (pow phi1 3) (pow phi2 3))) (- (pow phi1 3) (pow phi2 3))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (+ lambda1 lambda2) (- (pow phi1 3) (pow phi2 3))) (- (pow phi1 3) (pow phi2 3))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (+ lambda1 lambda2)))) R))
* * * * [misc]progress:  [ 18 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (95 enodes)
* * [misc]simplify:  iters left: 4 (354 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 19 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (39 enodes)
* * [misc]simplify:  iters left: 5 (105 enodes)
* * [misc]simplify:  iters left: 4 (396 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (+ lambda2 lambda1)) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (- (pow lambda1 3) (pow lambda2 3)) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (+ lambda2 lambda1)) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (- (pow lambda1 3) (pow lambda2 3)) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) R))
* * * * [misc]progress:  [ 20 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (39 enodes)
* * [misc]simplify:  iters left: 5 (105 enodes)
* * [misc]simplify:  iters left: 4 (394 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ lambda2 lambda1) (- (pow phi1 3) (pow phi2 3)))) (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (+ phi2 phi1)) (cos (/ (+ phi2 phi1) 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ lambda2 lambda1) (- (pow phi1 3) (pow phi2 3)))) (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (+ phi2 phi1)) (cos (/ (+ phi2 phi1) 2)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 21 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (83 enodes)
* * [misc]simplify:  iters left: 4 (294 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1))) (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (* (+ phi2 phi1) (- phi1 phi2))) (- (pow phi1 3) (pow phi2 3)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1))) (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (* (+ phi2 phi1) (- phi1 phi2))) (- (pow phi1 3) (pow phi2 3))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) R))
* * * * [misc]progress:  [ 22 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (98 enodes)
* * [misc]simplify:  iters left: 4 (337 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (- lambda1 lambda2) (+ phi2 phi1)) (cos (/ (+ phi2 phi1) 2)))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (- lambda1 lambda2) (+ phi2 phi1)) (cos (/ (+ phi2 phi1) 2)))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 23 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2)) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (+ lambda1 lambda2)))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2)) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (85 enodes)
* * [misc]simplify:  iters left: 4 (298 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (+ phi2 phi1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (* (+ lambda2 lambda1) (+ phi2 phi1)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (+ phi2 phi1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (* (+ lambda2 lambda1) (+ phi2 phi1)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (+ lambda1 lambda2)))) R))
* * * * [misc]progress:  [ 24 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (98 enodes)
* * [misc]simplify:  iters left: 4 (331 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 25 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2)) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (+ lambda1 lambda2)))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2)) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (85 enodes)
* * [misc]simplify:  iters left: 4 (292 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (+ lambda2 lambda1)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ lambda2 lambda1) (- (pow phi1 3) (pow phi2 3))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (+ lambda2 lambda1)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ lambda2 lambda1) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (+ lambda1 lambda2)))) R))
* * * * [misc]progress:  [ 26 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (95 enodes)
* * [misc]simplify:  iters left: 4 (358 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (- (* phi1 phi1) (* phi2 phi2))) (* (- (pow phi1 3) (pow phi2 3)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (- (* phi1 phi1) (* phi2 phi2))) (* (- (pow phi1 3) (pow phi2 3)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (* (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 27 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (39 enodes)
* * [misc]simplify:  iters left: 5 (105 enodes)
* * [misc]simplify:  iters left: 4 (394 enodes)
* [exit]simplify:  Simplified to (sqrt (* (+ phi1 phi2) (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (* (* (- phi1 phi2) (* (- (pow phi1 3) (pow phi2 3)) (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (* (+ phi1 phi2) (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (* (* (- phi1 phi2) (* (- (pow phi1 3) (pow phi2 3)) (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (sqrt (* (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) R))
* * * * [misc]progress:  [ 28 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (39 enodes)
* * [misc]simplify:  iters left: 5 (105 enodes)
* * [misc]simplify:  iters left: 4 (416 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ lambda2 lambda1) (- (pow phi1 3) (pow phi2 3))) (* (+ phi1 phi2) (- phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi1 phi2) (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ lambda2 lambda1) (- (pow phi1 3) (pow phi2 3))) (* (+ phi1 phi2) (- phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi1 phi2) (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))))))) (sqrt (* (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 29 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (83 enodes)
* * [misc]simplify:  iters left: 4 (322 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)))) (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))) (- (* phi1 phi1) (* phi2 phi2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)))) (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))) (- (* phi1 phi1) (* phi2 phi2))))) (sqrt (* (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) R))
* * * * [misc]progress:  [ 30 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (98 enodes)
* * [misc]simplify:  iters left: 4 (335 enodes)
* [exit]simplify:  Simplified to (sqrt (* (+ phi1 phi2) (+ (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (* (+ phi1 phi2) (+ (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))) (sqrt (* (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 31 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (+ lambda1 lambda2)))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (85 enodes)
* * [misc]simplify:  iters left: 4 (296 enodes)
* [exit]simplify:  Simplified to (sqrt (* (+ phi1 phi2) (+ (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- phi1 phi2) (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (* (+ phi1 phi2) (+ (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- phi1 phi2) (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (+ lambda1 lambda2)))) R))
* * * * [misc]progress:  [ 32 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (98 enodes)
* * [misc]simplify:  iters left: 4 (335 enodes)
* [exit]simplify:  Simplified to (sqrt (* (+ phi1 phi2) (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (* (+ phi1 phi2) (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))) (sqrt (* (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 33 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (+ lambda1 lambda2)))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (85 enodes)
* * [misc]simplify:  iters left: 4 (296 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (+ lambda2 lambda1)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (* (- phi1 phi2) (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))) (+ phi1 phi2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (+ lambda2 lambda1)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (* (- phi1 phi2) (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))) (+ phi1 phi2)))) (sqrt (* (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (+ lambda1 lambda2)))) R))
* * * * [misc]progress:  [ 34 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (75 enodes)
* * [misc]simplify:  iters left: 4 (283 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (* (+ phi1 phi2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (* (* (+ phi1 phi2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (* (+ phi1 phi2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (* (* (+ phi1 phi2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (sqrt (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 35 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (86 enodes)
* * [misc]simplify:  iters left: 4 (338 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (+ lambda2 lambda1)) (* (* (+ phi1 phi2) (- phi1 phi2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (+ lambda2 lambda1)) (* (* (+ phi1 phi2) (- phi1 phi2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (sqrt (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) R))
* * * * [misc]progress:  [ 36 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (86 enodes)
* * [misc]simplify:  iters left: 4 (324 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))))) (sqrt (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 37 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (62 enodes)
* * [misc]simplify:  iters left: 4 (222 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (+ lambda2 lambda1))) (* (+ phi1 phi2) (* (- phi1 phi2) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (+ lambda2 lambda1))) (* (+ phi1 phi2) (* (- phi1 phi2) (+ lambda2 lambda1)))))) (sqrt (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) R))
* * * * [misc]progress:  [ 38 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (+ phi1 phi2) (+ phi1 phi2)) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (78 enodes)
* * [misc]simplify:  iters left: 4 (254 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (* (* (+ phi1 phi2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ phi1 phi2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (* (* (+ phi1 phi2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))))) (sqrt (* (* (+ phi1 phi2) (+ phi1 phi2)) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 39 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (+ phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2)))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (64 enodes)
* * [misc]simplify:  iters left: 4 (214 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda2 lambda1) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda2 lambda1) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))))) (sqrt (* (* (+ phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2)))) R))
* * * * [misc]progress:  [ 40 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (+ phi1 phi2) (+ phi1 phi2)) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (78 enodes)
* * [misc]simplify:  iters left: 4 (254 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))))) (sqrt (* (* (+ phi1 phi2) (+ phi1 phi2)) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 41 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (+ phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2)))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (64 enodes)
* * [misc]simplify:  iters left: 4 (214 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (+ phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2)))) R))
* * * * [misc]progress:  [ 42 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (34 enodes)
* * [misc]simplify:  iters left: 5 (83 enodes)
* * [misc]simplify:  iters left: 4 (284 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- phi1 phi2) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (pow phi1 3) (pow phi2 3))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- phi1 phi2) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 43 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (93 enodes)
* * [misc]simplify:  iters left: 4 (318 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (sqrt (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) R))
* * * * [misc]progress:  [ 44 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (93 enodes)
* * [misc]simplify:  iters left: 4 (316 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (* (- phi1 phi2) (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (* (- phi1 phi2) (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 45 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (71 enodes)
* * [misc]simplify:  iters left: 4 (224 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) R))
* * * * [misc]progress:  [ 46 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (35 enodes)
* * [misc]simplify:  iters left: 5 (86 enodes)
* * [misc]simplify:  iters left: 4 (259 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 47 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ lambda1 lambda2)))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (73 enodes)
* * [misc]simplify:  iters left: 4 (220 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (- phi1 phi2) (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cos (/ (+ phi2 phi1) 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- phi1 phi2) (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cos (/ (+ phi2 phi1) 2)))))) (sqrt (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ lambda1 lambda2)))) R))
* * * * [misc]progress:  [ 48 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (35 enodes)
* * [misc]simplify:  iters left: 5 (86 enodes)
* * [misc]simplify:  iters left: 4 (259 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 49 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ lambda1 lambda2)))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (73 enodes)
* * [misc]simplify:  iters left: 4 (220 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ lambda1 lambda2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ lambda1 lambda2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (sqrt (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ lambda1 lambda2)))) R))
* * * * [misc]progress:  [ 50 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (+ phi1 phi2) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (69 enodes)
* * [misc]simplify:  iters left: 4 (259 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (- phi1 phi2) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (+ phi2 phi1) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (pow lambda1 3) (pow lambda2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- phi1 phi2) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (+ phi2 phi1) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (pow lambda1 3) (pow lambda2 3))))))) (sqrt (* (+ phi1 phi2) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 51 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (+ phi1 phi2) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (79 enodes)
* * [misc]simplify:  iters left: 4 (293 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (+ phi2 phi1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- phi1 phi2) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (+ phi2 phi1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- phi1 phi2) (+ lambda2 lambda1)))))) (sqrt (* (+ phi1 phi2) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) R))
* * * * [misc]progress:  [ 52 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (+ phi1 phi2) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (79 enodes)
* * [misc]simplify:  iters left: 4 (291 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (* (* (- phi1 phi2) (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (+ phi2 phi1) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (* (* (- phi1 phi2) (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (+ phi1 phi2) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 53 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (+ phi1 phi2) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (204 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (+ lambda1 lambda2))) (* (- phi1 phi2) (+ lambda1 lambda2))) (* (* (+ phi2 phi1) (cos (/ (+ phi2 phi1) 2))) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (+ lambda1 lambda2))) (* (- phi1 phi2) (+ lambda1 lambda2))) (* (* (+ phi2 phi1) (cos (/ (+ phi2 phi1) 2))) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (sqrt (* (+ phi1 phi2) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) R))
* * * * [misc]progress:  [ 54 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (+ phi1 phi2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (72 enodes)
* * [misc]simplify:  iters left: 4 (240 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))) (* (* (* (+ phi2 phi1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))) (* (* (* (+ phi2 phi1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (sqrt (* (+ phi1 phi2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 55 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (+ phi1 phi2) (+ lambda1 lambda2)))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (58 enodes)
* * [misc]simplify:  iters left: 4 (200 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ lambda1 lambda2) (+ phi2 phi1)) (* (- phi1 phi2) (- phi1 phi2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ phi2 phi1) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ lambda1 lambda2) (+ phi2 phi1)) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (* (+ phi1 phi2) (+ lambda1 lambda2)))) R))
* * * * [misc]progress:  [ 56 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (+ phi1 phi2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (72 enodes)
* * [misc]simplify:  iters left: 4 (240 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (- (pow lambda1 3) (pow lambda2 3)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (- (pow lambda1 3) (pow lambda2 3)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (sqrt (* (+ phi1 phi2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 57 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (+ phi1 phi2) (+ lambda1 lambda2)))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (58 enodes)
* * [misc]simplify:  iters left: 4 (200 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ lambda1 lambda2) (+ phi2 phi1)) (* (- phi1 phi2) (- phi1 phi2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (+ phi2 phi1) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ lambda1 lambda2) (+ phi2 phi1)) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (* (+ phi1 phi2) (+ lambda1 lambda2)))) R))
* * * * [misc]progress:  [ 58 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (34 enodes)
* * [misc]simplify:  iters left: 5 (83 enodes)
* * [misc]simplify:  iters left: 4 (284 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (sqrt (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 59 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (93 enodes)
* * [misc]simplify:  iters left: 4 (318 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ lambda2 lambda1) (- phi1 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ lambda2 lambda1) (- phi1 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (sqrt (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) R))
* * * * [misc]progress:  [ 60 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (93 enodes)
* * [misc]simplify:  iters left: 4 (316 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (* (+ lambda1 lambda2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (* (+ lambda1 lambda2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 61 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (71 enodes)
* * [misc]simplify:  iters left: 4 (224 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) R))
* * * * [misc]progress:  [ 62 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (35 enodes)
* * [misc]simplify:  iters left: 5 (86 enodes)
* * [misc]simplify:  iters left: 4 (259 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 63 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ lambda1 lambda2)))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (73 enodes)
* * [misc]simplify:  iters left: 4 (220 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (+ lambda1 lambda2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cos (/ (+ phi2 phi1) 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (+ lambda1 lambda2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cos (/ (+ phi2 phi1) 2)))))) (sqrt (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ lambda1 lambda2)))) R))
* * * * [misc]progress:  [ 64 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (35 enodes)
* * [misc]simplify:  iters left: 5 (86 enodes)
* * [misc]simplify:  iters left: 4 (259 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 65 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ lambda1 lambda2)))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (73 enodes)
* * [misc]simplify:  iters left: 4 (220 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (+ lambda1 lambda2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (+ lambda1 lambda2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (sqrt (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ lambda1 lambda2)))) R))
* * * * [misc]progress:  [ 66 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (+ phi1 phi2) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (69 enodes)
* * [misc]simplify:  iters left: 4 (259 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (+ phi1 phi2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (pow lambda1 3) (pow lambda2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (+ phi1 phi2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (pow lambda1 3) (pow lambda2 3))))))) (sqrt (* (+ phi1 phi2) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 67 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (+ phi1 phi2) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (79 enodes)
* * [misc]simplify:  iters left: 4 (293 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (* (+ phi1 phi2) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (+ lambda2 lambda1) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (* (+ phi1 phi2) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (+ lambda2 lambda1) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (sqrt (* (+ phi1 phi2) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) R))
* * * * [misc]progress:  [ 68 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (+ phi1 phi2) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (79 enodes)
* * [misc]simplify:  iters left: 4 (291 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (* (* (+ lambda1 lambda2) (- phi1 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (+ phi1 phi2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (* (* (+ lambda1 lambda2) (- phi1 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (+ phi1 phi2) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 69 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (+ phi1 phi2) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (205 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (+ phi1 phi2) (* (* (- phi1 phi2) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (cos (/ (+ phi1 phi2) 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (+ phi1 phi2) (* (* (- phi1 phi2) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (cos (/ (+ phi1 phi2) 2)))))) (sqrt (* (+ phi1 phi2) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) R))
* * * * [misc]progress:  [ 70 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (+ phi1 phi2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (72 enodes)
* * [misc]simplify:  iters left: 4 (241 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))) (* (* (* (+ phi1 phi2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))) (* (* (* (+ phi1 phi2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (sqrt (* (+ phi1 phi2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 71 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)) (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (+ phi1 phi2) (+ lambda1 lambda2)))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)) (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (58 enodes)
* * [misc]simplify:  iters left: 4 (201 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (* (+ phi1 phi2) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ lambda1 lambda2) (- phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (* (+ phi1 phi2) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ lambda1 lambda2) (- phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (sqrt (* (+ phi1 phi2) (+ lambda1 lambda2)))) R))
* * * * [misc]progress:  [ 72 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (+ phi1 phi2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (72 enodes)
* * [misc]simplify:  iters left: 4 (241 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (- (pow lambda1 3) (pow lambda2 3)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (- (pow lambda1 3) (pow lambda2 3)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (sqrt (* (+ phi1 phi2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 73 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)) (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (+ phi1 phi2) (+ lambda1 lambda2)))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)) (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (58 enodes)
* * [misc]simplify:  iters left: 4 (201 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (+ phi1 phi2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (* (+ phi1 phi2) (+ lambda1 lambda2)))) R))
* * * * [misc]progress:  [ 74 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (pow (* (- phi1 phi2) (- phi1 phi2)) 3) (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) 3))) (sqrt (+ (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (pow (* (- phi1 phi2) (- phi1 phi2)) 3) (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) 3)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (pow (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) 3) (pow (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) 3)) (* (pow (- phi1 phi2) 3) (pow (- phi1 phi2) 3))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (pow (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) 3) (pow (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) 3)) (* (pow (- phi1 phi2) 3) (pow (- phi1 phi2) 3)))) (sqrt (+ (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) R))
* * * * [misc]progress:  [ 75 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (- (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (- (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (- (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (119 enodes)
* [exit]simplify:  Simplified to (sqrt (- (pow (- phi1 phi2) 4) (pow (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) 4)))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (- (pow (- phi1 phi2) 4) (pow (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) 4))) (sqrt (- (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) R))
* * * * [misc]progress:  [ 76 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) R))>
* * * * [misc]progress:  [ 77 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (fabs (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (183 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (fabs (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 78 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* 1 (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) R))>
* * * * [misc]progress:  [ 79 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (pow (cos (/ (+ phi2 phi1) 2)) 1))))) R))>
* * * * [misc]progress:  [ 80 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (exp (log (cos (/ (+ phi2 phi1) 2)))))))) R))>
* * * * [misc]progress:  [ 81 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (log (exp (cos (/ (+ phi2 phi1) 2)))))))) R))>
* * * * [misc]progress:  [ 82 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (cbrt (cos (/ (+ phi2 phi1) 2)))))))) R))>
* * * * [misc]progress:  [ 83 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) R))>
* * * * [misc]progress:  [ 84 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (sqrt (cos (/ (+ phi2 phi1) 2))) (sqrt (cos (/ (+ phi2 phi1) 2)))))))) R))>
* * * * [misc]progress:  [ 85 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* 1 (cos (/ (+ phi2 phi1) 2))))))) R))>
* * * * [misc]progress:  [ 86 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (pow (cos (/ (+ phi2 phi1) 2)) 1)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) R))>
* * * * [misc]progress:  [ 87 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (exp (log (cos (/ (+ phi2 phi1) 2))))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) R))>
* * * * [misc]progress:  [ 88 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (log (exp (cos (/ (+ phi2 phi1) 2))))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) R))>
* * * * [misc]progress:  [ 89 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (cbrt (cos (/ (+ phi2 phi1) 2))))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) R))>
* * * * [misc]progress:  [ 90 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) R))>
* * * * [misc]progress:  [ 91 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (* (sqrt (cos (/ (+ phi2 phi1) 2))) (sqrt (cos (/ (+ phi2 phi1) 2))))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) R))>
* * * * [misc]progress:  [ 92 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (* 1 (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) R))>
* * * * [misc]progress:  [ 93 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (pow (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ 1 1)))) R))>
* [enter]simplify:  Simplifying (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* [exit]simplify:  Simplified to (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (pow (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ 1 1)))) R))
* [enter]simplify:  Simplifying (+ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to 2
* [misc]simplify:  Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (pow (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) 2))) R))
* * * * [misc]progress:  [ 94 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (pow (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ 1 1)))) R))>
* [enter]simplify:  Simplifying (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* [exit]simplify:  Simplified to (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (pow (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ 1 1)))) R))
* [enter]simplify:  Simplifying (+ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to 2
* [misc]simplify:  Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (pow (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) 2))) R))
* * * * [misc]progress:  [ 95 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (pow (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ 1 1)))) R))>
* [enter]simplify:  Simplifying (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* [exit]simplify:  Simplified to (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (pow (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ 1 1)))) R))
* [enter]simplify:  Simplifying (+ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to 2
* [misc]simplify:  Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (pow (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) 2))) R))
* * * * [misc]progress:  [ 96 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (pow (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ 1 1)))) R))>
* [enter]simplify:  Simplifying (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* [exit]simplify:  Simplified to (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (pow (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ 1 1)))) R))
* [enter]simplify:  Simplifying (+ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to 2
* [misc]simplify:  Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (pow (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) 2))) R))
* * * * [misc]progress:  [ 97 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) 1))) R))>
* [enter]simplify:  Simplifying (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (147 enodes)
* * [misc]simplify:  iters left: 2 (489 enodes)
* [exit]simplify:  Simplified to (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) 1))) R))
* * * * [misc]progress:  [ 98 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) 1))) R))>
* [enter]simplify:  Simplifying (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (147 enodes)
* * [misc]simplify:  iters left: 2 (489 enodes)
* [exit]simplify:  Simplified to (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) 1))) R))
* * * * [misc]progress:  [ 99 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) 1))) R))>
* [enter]simplify:  Simplifying (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (147 enodes)
* * [misc]simplify:  iters left: 2 (489 enodes)
* [exit]simplify:  Simplified to (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) 1))) R))
* * * * [misc]progress:  [ 100 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) 1))) R))>
* [enter]simplify:  Simplifying (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (147 enodes)
* * [misc]simplify:  iters left: 2 (489 enodes)
* [exit]simplify:  Simplified to (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) 1))) R))
* * * * [misc]progress:  [ 101 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (pow (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) 2))) R))>
* * * * [misc]progress:  [ 102 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (pow (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ 1 1)))) R))>
* [enter]simplify:  Simplifying (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* [exit]simplify:  Simplified to (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (pow (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ 1 1)))) R))
* * * * [misc]progress:  [ 103 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (pow (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ 1 1)))) R))>
* [enter]simplify:  Simplifying (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* [exit]simplify:  Simplified to (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (pow (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ 1 1)))) R))
* * * * [misc]progress:  [ 104 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) 1))) R))>
* * * * [misc]progress:  [ 105 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (exp (+ (+ (log (- lambda1 lambda2)) (log (cos (/ (+ phi2 phi1) 2)))) (+ (log (- lambda1 lambda2)) (log (cos (/ (+ phi2 phi1) 2)))))))) R))>
* [enter]simplify:  Simplifying (+ (+ (log (- lambda1 lambda2)) (log (cos (/ (+ phi2 phi1) 2)))) (+ (log (- lambda1 lambda2)) (log (cos (/ (+ phi2 phi1) 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (34 enodes)
* [exit]simplify:  Simplified to (+ (+ (log (cos (/ (+ phi1 phi2) 2))) (log (- lambda1 lambda2))) (+ (log (cos (/ (+ phi1 phi2) 2))) (log (- lambda1 lambda2))))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (exp (+ (+ (log (cos (/ (+ phi1 phi2) 2))) (log (- lambda1 lambda2))) (+ (log (cos (/ (+ phi1 phi2) 2))) (log (- lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 106 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (exp (+ (+ (log (- lambda1 lambda2)) (log (cos (/ (+ phi2 phi1) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) R))>
* [enter]simplify:  Simplifying (+ (+ (log (- lambda1 lambda2)) (log (cos (/ (+ phi2 phi1) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (57 enodes)
* [exit]simplify:  Simplified to (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (exp (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) R))
* * * * [misc]progress:  [ 107 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (exp (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (+ (log (- lambda1 lambda2)) (log (cos (/ (+ phi2 phi1) 2)))))))) R))>
* [enter]simplify:  Simplifying (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (+ (log (- lambda1 lambda2)) (log (cos (/ (+ phi2 phi1) 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* [exit]simplify:  Simplified to (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (exp (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) R))
* * * * [misc]progress:  [ 108 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (exp (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) R))>
* [enter]simplify:  Simplifying (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (55 enodes)
* [exit]simplify:  Simplified to (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (exp (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) R))
* * * * [misc]progress:  [ 109 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (exp (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) R))>
* * * * [misc]progress:  [ 110 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (log (exp (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) R))>
* * * * [misc]progress:  [ 111 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) R))>
* [enter]simplify:  Simplifying (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* [exit]simplify:  Simplified to (* (* (* (pow (- lambda1 lambda2) 3) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (pow (- lambda1 lambda2) 3) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2)))))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (cbrt (* (* (* (pow (- lambda1 lambda2) 3) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (pow (- lambda1 lambda2) 3) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2)))))))) R))
* * * * [misc]progress:  [ 112 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) R))>
* [enter]simplify:  Simplifying (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (162 enodes)
* [exit]simplify:  Simplified to (* (pow (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) 3) (pow (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) 3))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (cbrt (* (pow (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) 3) (pow (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) 3))))) R))
* * * * [misc]progress:  [ 113 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) R))>
* [enter]simplify:  Simplifying (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (161 enodes)
* [exit]simplify:  Simplified to (* (pow (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) 3) (pow (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) 3))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (cbrt (* (pow (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) 3) (pow (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) 3))))) R))
* * * * [misc]progress:  [ 114 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) R))>
* [enter]simplify:  Simplifying (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (455 enodes)
* [exit]simplify:  Simplified to (* (pow (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) 3) (pow (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) 3))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (cbrt (* (pow (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) 3) (pow (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) 3))))) R))
* * * * [misc]progress:  [ 115 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) R))>
* * * * [misc]progress:  [ 116 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) R))>
* * * * [misc]progress:  [ 117 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (sqrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (sqrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) R))>
* * * * [misc]progress:  [ 118 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (/ (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))
* * [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 (208 enodes)
* [exit]simplify:  Simplified to (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (/ (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) R))
* [enter]simplify:  Simplifying (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (356 enodes)
* [exit]simplify:  Simplified to (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))
* [misc]simplify:  Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (/ (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) R))
* * * * [misc]progress:  [ 119 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (/ (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) R))>
* [enter]simplify:  Simplifying (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (374 enodes)
* [exit]simplify:  Simplified to (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (/ (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) R))
* [enter]simplify:  Simplifying (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (223 enodes)
* [exit]simplify:  Simplified to (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))
* [misc]simplify:  Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (/ (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) R))
* * * * [misc]progress:  [ 120 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (/ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (398 enodes)
* [exit]simplify:  Simplified to (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (/ (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) R))
* [enter]simplify:  Simplifying (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (203 enodes)
* * [misc]simplify:  iters left: 2 (431 enodes)
* [exit]simplify:  Simplified to (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))
* [misc]simplify:  Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (/ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) R))
* * * * [misc]progress:  [ 121 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (/ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) R))>
* [enter]simplify:  Simplifying (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (268 enodes)
* [exit]simplify:  Simplified to (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (/ (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) R))
* [enter]simplify:  Simplifying (* (+ lambda1 lambda2) (+ lambda1 lambda2))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* * [misc]simplify:  iters left: 1 (53 enodes)
* [exit]simplify:  Simplified to (* (+ lambda2 lambda1) (+ lambda2 lambda1))
* [misc]simplify:  Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (/ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) R))
* * * * [misc]progress:  [ 122 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* 1 (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) R))>
* * * * [misc]progress:  [ 123 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) R))>
* [enter]simplify:  Simplifying (cos (/ (+ phi2 phi1) 2))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (cos (/ (+ phi1 phi2) 2))
* [misc]simplify:  Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) R))
* * * * [misc]progress:  [ 124 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) R))>
* [enter]simplify:  Simplifying (- lambda1 lambda2)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (- lambda1 lambda2)
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) R))
* * * * [misc]progress:  [ 125 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (/ (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* [exit]simplify:  Simplified to (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))
* [misc]simplify:  Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (/ (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) R))
* * * * [misc]progress:  [ 126 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (/ (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ lambda1 lambda2)))) R))>
* [enter]simplify:  Simplifying (+ lambda1 lambda2)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (+ lambda2 lambda1)
* [misc]simplify:  Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (/ (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ lambda2 lambda1)))) R))
* * * * [misc]progress:  [ 127 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (/ (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (275 enodes)
* [exit]simplify:  Simplified to (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (/ (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 128 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (/ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (+ lambda1 lambda2)))) R))>
* [enter]simplify:  Simplifying (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (385 enodes)
* [exit]simplify:  Simplified to (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (/ (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (+ lambda1 lambda2)))) R))
* * * * [misc]progress:  [ 129 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) R))>
* * * * [misc]progress:  [ 130 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- lambda2 lambda1) R))>
* [enter]simplify:  Simplifying (- lambda2 lambda1)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (- lambda2 lambda1)
* [misc]simplify:  Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- lambda2 lambda1) R))
* * * * [misc]progress:  [ 131 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (+ (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) phi1) (+ (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 (* lambda1 phi2))) (pow phi1 2)) phi2))) R))>
* [enter]simplify:  Simplifying (- (+ (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) phi1) (+ (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 (* lambda1 phi2))) (pow phi1 2)) phi2)))
* * [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 (436 enodes)
* [exit]simplify:  Simplified to (- (- phi2) (/ (* (cos (* (+ phi1 phi2) 1/2)) (+ (* lambda1 lambda2) (/ (* phi2 lambda1) (/ phi1 lambda2)))) (/ phi1 (cos (* (+ phi1 phi2) 1/2)))))
* [misc]simplify:  Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (- phi2) (/ (* (cos (* (+ phi1 phi2) 1/2)) (+ (* lambda1 lambda2) (/ (* phi2 lambda1) (/ phi1 lambda2)))) (/ phi1 (cos (* (+ phi1 phi2) 1/2))))) R))
* * * * [misc]progress:  [ 132 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (/ (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) phi1) (+ (/ (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) phi2))) (pow phi1 2)) phi2)) R))>
* [enter]simplify:  Simplifying (+ (/ (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) phi1) (+ (/ (* lambda1 (* lambda2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) phi2))) (pow phi1 2)) phi2))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (115 enodes)
* * [misc]simplify:  iters left: 3 (335 enodes)
* [exit]simplify:  Simplified to (+ phi2 (* (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) (+ (/ (* (/ lambda1 phi1) (* lambda2 phi2)) phi1) (/ lambda2 (/ phi1 lambda1)))))
* [misc]simplify:  Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (+ phi2 (* (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) (+ (/ (* (/ lambda1 phi1) (* lambda2 phi2)) phi1) (/ lambda2 (/ phi1 lambda1))))) R))
* * * * [misc]progress:  [ 133 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi2 2)))))))) R))>
* [enter]simplify:  Simplifying (- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi2 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (161 enodes)
* * [misc]simplify:  iters left: 1 (211 enodes)
* [exit]simplify:  Simplified to (- 1 (* phi2 (- (* phi1 1/4) (* phi2 -1/8))))
* [misc]simplify:  Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- 1 (* phi2 (- (* phi1 1/4) (* phi2 -1/8)))))))) R))
* * * * [misc]progress:  [ 134 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (* 1/2 (+ phi1 phi2))))))) R))>
* [enter]simplify:  Simplifying (cos (* 1/2 (+ phi1 phi2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* [exit]simplify:  Simplified to (cos (* (+ phi1 phi2) 1/2))
* [misc]simplify:  Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (* (+ phi1 phi2) 1/2)))))) R))
* * * * [misc]progress:  [ 135 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (* 1/2 (+ phi1 phi2))))))) R))>
* [enter]simplify:  Simplifying (cos (* 1/2 (+ phi1 phi2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* [exit]simplify:  Simplified to (cos (* (+ phi1 phi2) 1/2))
* [misc]simplify:  Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (* (+ phi1 phi2) 1/2)))))) R))
* * * * [misc]progress:  [ 136 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi2 2))))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) R))>
* [enter]simplify:  Simplifying (- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi2 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (161 enodes)
* * [misc]simplify:  iters left: 1 (211 enodes)
* [exit]simplify:  Simplified to (- 1 (* phi2 (- (* phi1 1/4) (* phi2 -1/8))))
* [misc]simplify:  Simplified (2 1 1 2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (- 1 (* phi2 (- (* phi1 1/4) (* phi2 -1/8))))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) R))
* * * * [misc]progress:  [ 137 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (* 1/2 (+ phi1 phi2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) R))>
* [enter]simplify:  Simplifying (cos (* 1/2 (+ phi1 phi2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* [exit]simplify:  Simplified to (cos (* (+ phi1 phi2) 1/2))
* [misc]simplify:  Simplified (2 1 1 2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (* (+ phi1 phi2) 1/2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) R))
* * * * [misc]progress:  [ 138 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (* 1/2 (+ phi1 phi2)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) R))>
* [enter]simplify:  Simplifying (cos (* 1/2 (+ phi1 phi2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* [exit]simplify:  Simplified to (cos (* (+ phi1 phi2) 1/2))
* [misc]simplify:  Simplified (2 1 1 2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (* (+ phi1 phi2) 1/2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) R))
* * * * [misc]progress:  [ 139 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) R))>
* [enter]simplify:  Simplifying (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (95 enodes)
* * [misc]simplify:  iters left: 1 (101 enodes)
* [exit]simplify:  Simplified to (+ (* lambda1 (* lambda2 -2)) (+ (* lambda1 lambda1) (* lambda2 lambda2)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (+ (* lambda1 (* lambda2 -2)) (+ (* lambda1 lambda1) (* lambda2 lambda2))))) R))
* * * * [misc]progress:  [ 140 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))))) R))>
* [enter]simplify:  Simplifying (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (107 enodes)
* * [misc]simplify:  iters left: 3 (257 enodes)
* [exit]simplify:  Simplified to (* (* (cos (* (+ phi1 phi2) 1/2)) (cos (* (+ phi1 phi2) 1/2))) (+ (* lambda2 (- lambda2 (* 2 lambda1))) (* lambda1 lambda1)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (* (+ phi1 phi2) 1/2)) (cos (* (+ phi1 phi2) 1/2))) (+ (* lambda2 (- lambda2 (* 2 lambda1))) (* lambda1 lambda1))))) R))
* * * * [misc]progress:  [ 141 / 141 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))))) R))>
* [enter]simplify:  Simplifying (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (107 enodes)
* * [misc]simplify:  iters left: 3 (257 enodes)
* [exit]simplify:  Simplified to (* (* (cos (* (+ phi1 phi2) 1/2)) (cos (* (+ phi1 phi2) 1/2))) (+ (* lambda2 (- lambda2 (* 2 lambda1))) (* lambda1 lambda1)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (* (+ phi1 phi2) 1/2)) (cos (* (+ phi1 phi2) 1/2))) (+ (* lambda2 (- lambda2 (* 2 lambda1))) (* lambda1 lambda1))))) R))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) R))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 1 2 2)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1 1 2 1 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1 1 2 1 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) in (phi1 phi2 lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (- phi1 phi2) (- phi1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- phi1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of (- phi1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in lambda2
* [misc]taylor:  Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 phi1) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 phi1) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ lambda1 0) into lambda1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) into (* (cos (* 1/2 (+ phi1 phi2))) lambda1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ lambda1 0) into lambda1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) into (* (cos (* 1/2 (+ phi1 phi2))) lambda1)
* [misc]backup-simplify:  Simplify (* (* (cos (* 1/2 (+ phi1 phi2))) lambda1) (* (cos (* 1/2 (+ phi1 phi2))) lambda1)) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))
* [misc]backup-simplify:  Simplify (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))) into (log (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))))) into (pow (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in lambda2
* [misc]taylor:  Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 phi1) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 phi1) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ lambda1 0) into lambda1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) into (* (cos (* 1/2 (+ phi1 phi2))) lambda1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ lambda1 0) into lambda1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) into (* (cos (* 1/2 (+ phi1 phi2))) lambda1)
* [misc]backup-simplify:  Simplify (* (* (cos (* 1/2 (+ phi1 phi2))) lambda1) (* (cos (* 1/2 (+ phi1 phi2))) lambda1)) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))
* [misc]backup-simplify:  Simplify (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))) into (log (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))))) into (pow (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in lambda2
* [misc]taylor:  Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 phi1) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 phi1) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ lambda1 0) into lambda1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) into (* (cos (* 1/2 (+ phi1 phi2))) lambda1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ lambda1 0) into lambda1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) into (* (cos (* 1/2 (+ phi1 phi2))) lambda1)
* [misc]backup-simplify:  Simplify (* (* (cos (* 1/2 (+ phi1 phi2))) lambda1) (* (cos (* 1/2 (+ phi1 phi2))) lambda1)) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))
* [misc]backup-simplify:  Simplify (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))) into (log (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))))) into (pow (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (+ phi1 (- phi2)) into (- phi1 phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (+ phi1 (- phi2)) into (- phi1 phi2)
* [misc]backup-simplify:  Simplify (* (- phi1 phi2) (- phi1 phi2)) into (pow (- phi1 phi2) 2)
* [misc]backup-simplify:  Simplify (* (pow (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) (pow (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3)) into (pow (* (pow lambda1 4) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) 1/3)
* [misc]backup-simplify:  Simplify (* (pow (* (pow lambda1 4) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) 1/3) (pow (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3)) into (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))
* [misc]backup-simplify:  Simplify (+ (pow (- phi1 phi2) 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))
* [misc]backup-simplify:  Simplify (sqrt (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2))))
* [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 (+ (* (- phi1 phi2) 0) (* 0 (- phi1 phi2))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 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 (+ (* lambda1 0) (* -1 (cos (* 1/2 (+ phi1 phi2))))) into (- (cos (* 1/2 (+ phi1 phi2))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 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 (+ (* lambda1 0) (* -1 (cos (* 1/2 (+ phi1 phi2))))) into (- (cos (* 1/2 (+ phi1 phi2))))
* [misc]backup-simplify:  Simplify (+ (* (* (cos (* 1/2 (+ phi1 phi2))) lambda1) (- (cos (* 1/2 (+ phi1 phi2))))) (* (- (cos (* 1/2 (+ phi1 phi2)))) (* (cos (* 1/2 (+ phi1 phi2))) lambda1))) into (- (+ (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)))) 1)) (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) 1)))) 1) into (/ -2 lambda1)
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ -2 lambda1)) (* 0 (log (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (- (* 2/3 (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda1))) 1) 1)))) into (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1) 1/3))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 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 (+ (* lambda1 0) (* -1 (cos (* 1/2 (+ phi1 phi2))))) into (- (cos (* 1/2 (+ phi1 phi2))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 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 (+ (* lambda1 0) (* -1 (cos (* 1/2 (+ phi1 phi2))))) into (- (cos (* 1/2 (+ phi1 phi2))))
* [misc]backup-simplify:  Simplify (+ (* (* (cos (* 1/2 (+ phi1 phi2))) lambda1) (- (cos (* 1/2 (+ phi1 phi2))))) (* (- (cos (* 1/2 (+ phi1 phi2)))) (* (cos (* 1/2 (+ phi1 phi2))) lambda1))) into (- (+ (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)))) 1)) (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) 1)))) 1) into (/ -2 lambda1)
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ -2 lambda1)) (* 0 (log (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (- (* 2/3 (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda1))) 1) 1)))) into (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1) 1/3))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 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 (+ (* lambda1 0) (* -1 (cos (* 1/2 (+ phi1 phi2))))) into (- (cos (* 1/2 (+ phi1 phi2))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 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 (+ (* lambda1 0) (* -1 (cos (* 1/2 (+ phi1 phi2))))) into (- (cos (* 1/2 (+ phi1 phi2))))
* [misc]backup-simplify:  Simplify (+ (* (* (cos (* 1/2 (+ phi1 phi2))) lambda1) (- (cos (* 1/2 (+ phi1 phi2))))) (* (- (cos (* 1/2 (+ phi1 phi2)))) (* (cos (* 1/2 (+ phi1 phi2))) lambda1))) into (- (+ (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)))) 1)) (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) 1)))) 1) into (/ -2 lambda1)
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ -2 lambda1)) (* 0 (log (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (- (* 2/3 (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda1))) 1) 1)))) into (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1) 1/3))
* [misc]backup-simplify:  Simplify (+ (* (pow (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1) 1/3))) (* (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1) 1/3)) (pow (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3))) into (- (* 4/3 (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 4) lambda1) 1/3)))
* [misc]backup-simplify:  Simplify (+ (* (pow (* (pow lambda1 4) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) 1/3) (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1) 1/3))) (* (- (* 4/3 (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 4) lambda1) 1/3))) (pow (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3))) into (- (+ (* 2/3 (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 4/3 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 2/3 (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 4/3 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))))) into (- (+ (* 2/3 (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 4/3 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))))
* [misc]backup-simplify:  Simplify (/ (- (+ (* 2/3 (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 4/3 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))))) into (* -1/2 (* (+ (* 2/3 (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 4/3 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (- phi1 phi2) (- phi1 phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of (- phi1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in lambda1
* [misc]taylor:  Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 phi1) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 phi1) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (- lambda2)) into (- lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (- lambda2)) into (- lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
* [misc]backup-simplify:  Simplify (* (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))
* [misc]backup-simplify:  Simplify (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in lambda1
* [misc]taylor:  Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 phi1) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 phi1) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (- lambda2)) into (- lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (- lambda2)) into (- lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
* [misc]backup-simplify:  Simplify (* (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))
* [misc]backup-simplify:  Simplify (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in lambda1
* [misc]taylor:  Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 phi1) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 phi1) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (- lambda2)) into (- lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (- lambda2)) into (- lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
* [misc]backup-simplify:  Simplify (* (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))
* [misc]backup-simplify:  Simplify (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (+ phi1 (- phi2)) into (- phi1 phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (+ phi1 (- phi2)) into (- phi1 phi2)
* [misc]backup-simplify:  Simplify (* (- phi1 phi2) (- phi1 phi2)) into (pow (- phi1 phi2) 2)
* [misc]backup-simplify:  Simplify (* (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3)) into (pow (* (pow lambda2 4) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) 1/3)
* [misc]backup-simplify:  Simplify (* (pow (* (pow lambda2 4) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) 1/3) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))
* [misc]backup-simplify:  Simplify (+ (pow (- phi1 phi2) 2) (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2)))
* [misc]backup-simplify:  Simplify (sqrt (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))
* [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 (+ (* (- phi1 phi2) 0) (* 0 (- phi1 phi2))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (- lambda2) 0) (* 1 (cos (* 1/2 (+ phi1 phi2))))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (- lambda2) 0) (* 1 (cos (* 1/2 (+ phi1 phi2))))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (+ (* (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) (cos (* 1/2 (+ phi1 phi2)))) (* (cos (* 1/2 (+ phi1 phi2))) (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 1)) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)))) 1) into (/ -2 lambda2)
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (- (* 2/3 (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (- lambda2) 0) (* 1 (cos (* 1/2 (+ phi1 phi2))))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (- lambda2) 0) (* 1 (cos (* 1/2 (+ phi1 phi2))))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (+ (* (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) (cos (* 1/2 (+ phi1 phi2)))) (* (cos (* 1/2 (+ phi1 phi2))) (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 1)) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)))) 1) into (/ -2 lambda2)
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (- (* 2/3 (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (- lambda2) 0) (* 1 (cos (* 1/2 (+ phi1 phi2))))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (- lambda2) 0) (* 1 (cos (* 1/2 (+ phi1 phi2))))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (+ (* (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) (cos (* 1/2 (+ phi1 phi2)))) (* (cos (* 1/2 (+ phi1 phi2))) (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 1)) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)))) 1) into (/ -2 lambda2)
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (- (* 2/3 (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3))
* [misc]backup-simplify:  Simplify (+ (* (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3))) (* (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3)) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3))) into (- (* 4/3 (pow (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 4)) 1/3)))
* [misc]backup-simplify:  Simplify (+ (* (pow (* (pow lambda2 4) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) 1/3) (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3))) (* (- (* 4/3 (pow (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 4)) 1/3))) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (sqrt (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (- phi1 phi2) (- phi1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- phi1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) in phi2
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in phi2
* [misc]taylor:  Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/3 in phi2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 phi1) into phi1
* [misc]backup-simplify:  Simplify (/ phi1 2) into (* 1/2 phi1)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1))
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 phi1) into phi1
* [misc]backup-simplify:  Simplify (/ phi1 2) into (* 1/2 phi1)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi1))) into (* (- lambda1 lambda2) (cos (* 1/2 phi1)))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi1))) into (* (- lambda1 lambda2) (cos (* 1/2 phi1)))
* [misc]backup-simplify:  Simplify (* (* (- lambda1 lambda2) (cos (* 1/2 phi1))) (* (- lambda1 lambda2) (cos (* 1/2 phi1)))) into (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))
* [misc]backup-simplify:  Simplify (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))) into (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)))) into (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))))) into (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in phi2
* [misc]taylor:  Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/3 in phi2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 phi1) into phi1
* [misc]backup-simplify:  Simplify (/ phi1 2) into (* 1/2 phi1)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1))
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 phi1) into phi1
* [misc]backup-simplify:  Simplify (/ phi1 2) into (* 1/2 phi1)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi1))) into (* (- lambda1 lambda2) (cos (* 1/2 phi1)))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi1))) into (* (- lambda1 lambda2) (cos (* 1/2 phi1)))
* [misc]backup-simplify:  Simplify (* (* (- lambda1 lambda2) (cos (* 1/2 phi1))) (* (- lambda1 lambda2) (cos (* 1/2 phi1)))) into (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))
* [misc]backup-simplify:  Simplify (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))) into (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)))) into (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))))) into (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in phi2
* [misc]taylor:  Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/3 in phi2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 phi1) into phi1
* [misc]backup-simplify:  Simplify (/ phi1 2) into (* 1/2 phi1)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1))
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 phi1) into phi1
* [misc]backup-simplify:  Simplify (/ phi1 2) into (* 1/2 phi1)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi1))) into (* (- lambda1 lambda2) (cos (* 1/2 phi1)))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi1))) into (* (- lambda1 lambda2) (cos (* 1/2 phi1)))
* [misc]backup-simplify:  Simplify (* (* (- lambda1 lambda2) (cos (* 1/2 phi1))) (* (- lambda1 lambda2) (cos (* 1/2 phi1)))) into (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))
* [misc]backup-simplify:  Simplify (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))) into (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)))) into (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))))) into (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) 1/3)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ phi1 0) into phi1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ phi1 0) into phi1
* [misc]backup-simplify:  Simplify (* phi1 phi1) into (pow phi1 2)
* [misc]backup-simplify:  Simplify (* (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) 1/3) (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) 1/3)) into (pow (* (pow (- lambda1 lambda2) 4) (pow (cos (* 1/2 phi1)) 4)) 1/3)
* [misc]backup-simplify:  Simplify (* (pow (* (pow (- lambda1 lambda2) 4) (pow (cos (* 1/2 phi1)) 4)) 1/3) (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) 1/3)) into (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))
* [misc]backup-simplify:  Simplify (+ (pow phi1 2) (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))) into (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))
* [misc]backup-simplify:  Simplify (sqrt (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))) into (sqrt (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))))
* [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 (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* phi1 -1) (* -1 phi1)) into (- (* 2 phi1))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 2) (+ (* (* 1/2 phi1) (/ 0 2)))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1)))
* [misc]backup-simplify:  Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- lambda1 lambda2) (- (* 1/2 (sin (* 1/2 phi1))))) (* 0 (cos (* 1/2 phi1)))) into (- (* 1/2 (* lambda2 (sin (* 1/2 phi1)))) (* 1/2 (* (sin (* 1/2 phi1)) lambda1)))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 2) (+ (* (* 1/2 phi1) (/ 0 2)))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1)))
* [misc]backup-simplify:  Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- lambda1 lambda2) (- (* 1/2 (sin (* 1/2 phi1))))) (* 0 (cos (* 1/2 phi1)))) into (- (* 1/2 (* lambda2 (sin (* 1/2 phi1)))) (* 1/2 (* (sin (* 1/2 phi1)) lambda1)))
* [misc]backup-simplify:  Simplify (+ (* (* (- lambda1 lambda2) (cos (* 1/2 phi1))) (- (* 1/2 (* lambda2 (sin (* 1/2 phi1)))) (* 1/2 (* (sin (* 1/2 phi1)) lambda1)))) (* (- (* 1/2 (* lambda2 (sin (* 1/2 phi1)))) (* 1/2 (* (sin (* 1/2 phi1)) lambda1))) (* (- lambda1 lambda2) (cos (* 1/2 phi1))))) into (- (+ (* lambda2 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) lambda1))) (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (* (pow lambda2 2) (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* lambda2 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) lambda1))) (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (* (pow lambda2 2) (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))))) 1)) (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) 1)))) 1) into (- (* 2 (/ (* lambda2 (* (sin (* 1/2 phi1)) lambda1)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (+ (/ (* (pow lambda2 2) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))) (/ (* (sin (* 1/2 phi1)) (pow lambda1 2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (- (* 2 (/ (* lambda2 (* (sin (* 1/2 phi1)) lambda1)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (+ (/ (* (pow lambda2 2) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))) (/ (* (sin (* 1/2 phi1)) (pow lambda1 2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (* 0 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))))) into (- (* 2/3 (/ (* lambda2 (* (sin (* 1/2 phi1)) lambda1)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (pow lambda2 2) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (sin (* 1/2 phi1)) (pow lambda1 2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))))) (+ (* (/ (pow (- (* 2/3 (/ (* lambda2 (* (sin (* 1/2 phi1)) lambda1)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (pow lambda2 2) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (sin (* 1/2 phi1)) (pow lambda1 2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) 1) 1)))) into (* (- (* 2/3 (/ (* lambda2 (* (sin (* 1/2 phi1)) lambda1)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (pow lambda2 2) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (sin (* 1/2 phi1)) (pow lambda1 2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) 1/3))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 2) (+ (* (* 1/2 phi1) (/ 0 2)))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1)))
* [misc]backup-simplify:  Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- lambda1 lambda2) (- (* 1/2 (sin (* 1/2 phi1))))) (* 0 (cos (* 1/2 phi1)))) into (- (* 1/2 (* lambda2 (sin (* 1/2 phi1)))) (* 1/2 (* (sin (* 1/2 phi1)) lambda1)))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 2) (+ (* (* 1/2 phi1) (/ 0 2)))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1)))
* [misc]backup-simplify:  Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- lambda1 lambda2) (- (* 1/2 (sin (* 1/2 phi1))))) (* 0 (cos (* 1/2 phi1)))) into (- (* 1/2 (* lambda2 (sin (* 1/2 phi1)))) (* 1/2 (* (sin (* 1/2 phi1)) lambda1)))
* [misc]backup-simplify:  Simplify (+ (* (* (- lambda1 lambda2) (cos (* 1/2 phi1))) (- (* 1/2 (* lambda2 (sin (* 1/2 phi1)))) (* 1/2 (* (sin (* 1/2 phi1)) lambda1)))) (* (- (* 1/2 (* lambda2 (sin (* 1/2 phi1)))) (* 1/2 (* (sin (* 1/2 phi1)) lambda1))) (* (- lambda1 lambda2) (cos (* 1/2 phi1))))) into (- (+ (* lambda2 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) lambda1))) (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (* (pow lambda2 2) (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* lambda2 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) lambda1))) (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (* (pow lambda2 2) (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))))) 1)) (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) 1)))) 1) into (- (* 2 (/ (* lambda2 (* (sin (* 1/2 phi1)) lambda1)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (+ (/ (* (pow lambda2 2) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))) (/ (* (sin (* 1/2 phi1)) (pow lambda1 2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (- (* 2 (/ (* lambda2 (* (sin (* 1/2 phi1)) lambda1)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (+ (/ (* (pow lambda2 2) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))) (/ (* (sin (* 1/2 phi1)) (pow lambda1 2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (* 0 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))))) into (- (* 2/3 (/ (* lambda2 (* (sin (* 1/2 phi1)) lambda1)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (pow lambda2 2) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (sin (* 1/2 phi1)) (pow lambda1 2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))))) (+ (* (/ (pow (- (* 2/3 (/ (* lambda2 (* (sin (* 1/2 phi1)) lambda1)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (pow lambda2 2) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (sin (* 1/2 phi1)) (pow lambda1 2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) 1) 1)))) into (* (- (* 2/3 (/ (* lambda2 (* (sin (* 1/2 phi1)) lambda1)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (pow lambda2 2) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (sin (* 1/2 phi1)) (pow lambda1 2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) 1/3))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 2) (+ (* (* 1/2 phi1) (/ 0 2)))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1)))
* [misc]backup-simplify:  Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- lambda1 lambda2) (- (* 1/2 (sin (* 1/2 phi1))))) (* 0 (cos (* 1/2 phi1)))) into (- (* 1/2 (* lambda2 (sin (* 1/2 phi1)))) (* 1/2 (* (sin (* 1/2 phi1)) lambda1)))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 2) (+ (* (* 1/2 phi1) (/ 0 2)))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1)))
* [misc]backup-simplify:  Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- lambda1 lambda2) (- (* 1/2 (sin (* 1/2 phi1))))) (* 0 (cos (* 1/2 phi1)))) into (- (* 1/2 (* lambda2 (sin (* 1/2 phi1)))) (* 1/2 (* (sin (* 1/2 phi1)) lambda1)))
* [misc]backup-simplify:  Simplify (+ (* (* (- lambda1 lambda2) (cos (* 1/2 phi1))) (- (* 1/2 (* lambda2 (sin (* 1/2 phi1)))) (* 1/2 (* (sin (* 1/2 phi1)) lambda1)))) (* (- (* 1/2 (* lambda2 (sin (* 1/2 phi1)))) (* 1/2 (* (sin (* 1/2 phi1)) lambda1))) (* (- lambda1 lambda2) (cos (* 1/2 phi1))))) into (- (+ (* lambda2 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) lambda1))) (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (* (pow lambda2 2) (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* lambda2 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) lambda1))) (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (* (pow lambda2 2) (* (cos (* 1/2 phi1)) (sin (* 1/2 phi1))))))) 1)) (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) 1)))) 1) into (- (* 2 (/ (* lambda2 (* (sin (* 1/2 phi1)) lambda1)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (+ (/ (* (pow lambda2 2) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))) (/ (* (sin (* 1/2 phi1)) (pow lambda1 2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (- (* 2 (/ (* lambda2 (* (sin (* 1/2 phi1)) lambda1)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (+ (/ (* (pow lambda2 2) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))) (/ (* (sin (* 1/2 phi1)) (pow lambda1 2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (* 0 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))))) into (- (* 2/3 (/ (* lambda2 (* (sin (* 1/2 phi1)) lambda1)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (pow lambda2 2) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (sin (* 1/2 phi1)) (pow lambda1 2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))))) (+ (* (/ (pow (- (* 2/3 (/ (* lambda2 (* (sin (* 1/2 phi1)) lambda1)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (pow lambda2 2) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (sin (* 1/2 phi1)) (pow lambda1 2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) 1) 1)))) into (* (- (* 2/3 (/ (* lambda2 (* (sin (* 1/2 phi1)) lambda1)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (pow lambda2 2) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (sin (* 1/2 phi1)) (pow lambda1 2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) 1/3))
* [misc]backup-simplify:  Simplify (+ (* (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) 1/3) (* (- (* 2/3 (/ (* lambda2 (* (sin (* 1/2 phi1)) lambda1)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (pow lambda2 2) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (sin (* 1/2 phi1)) (pow lambda1 2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) 1/3))) (* (* (- (* 2/3 (/ (* lambda2 (* (sin (* 1/2 phi1)) lambda1)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (pow lambda2 2) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (sin (* 1/2 phi1)) (pow lambda1 2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) 1/3)) (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) 1/3))) into (- (* 4/3 (* (* lambda2 (* (sin (* 1/2 phi1)) lambda1)) (pow (/ (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)) 1/3))) (+ (* 2/3 (* (* (sin (* 1/2 phi1)) (pow lambda1 2)) (pow (/ (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)) 1/3))) (* 2/3 (* (* (pow lambda2 2) (sin (* 1/2 phi1))) (pow (/ (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)) 1/3)))))
* [misc]backup-simplify:  Simplify (+ (* (pow (* (pow (- lambda1 lambda2) 4) (pow (cos (* 1/2 phi1)) 4)) 1/3) (* (- (* 2/3 (/ (* lambda2 (* (sin (* 1/2 phi1)) lambda1)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (pow lambda2 2) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (sin (* 1/2 phi1)) (pow lambda1 2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) 1/3))) (* (- (* 4/3 (* (* lambda2 (* (sin (* 1/2 phi1)) lambda1)) (pow (/ (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)) 1/3))) (+ (* 2/3 (* (* (sin (* 1/2 phi1)) (pow lambda1 2)) (pow (/ (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)) 1/3))) (* 2/3 (* (* (pow lambda2 2) (sin (* 1/2 phi1))) (pow (/ (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)) 1/3))))) (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) 1/3))) into (- (+ (* 4/3 (/ (* (pow lambda2 3) (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1))) (pow (- lambda1 lambda2) 2))) (+ (* 4/3 (/ (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 3)))) (pow (- lambda1 lambda2) 2))) (* 4/3 (* lambda1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) lambda2)))))) (+ (* 1/3 (/ (* (pow lambda2 4) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) (+ (* 2 (/ (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2)))) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 4))) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow lambda1 2)))) (* 2/3 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow lambda2 2)))))))))
* [misc]backup-simplify:  Simplify (+ (- (* 2 phi1)) (- (+ (* 4/3 (/ (* (pow lambda2 3) (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1))) (pow (- lambda1 lambda2) 2))) (+ (* 4/3 (/ (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 3)))) (pow (- lambda1 lambda2) 2))) (* 4/3 (* lambda1 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) lambda2)))))) (+ (* 1/3 (/ (* (pow lambda2 4) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) (+ (* 2 (/ (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2)))) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 4))) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow lambda1 2)))) (* 2/3 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow lambda2 2)))))))))) into (- (+ (* 4/3 (/ (* (pow lambda2 3) (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1))) (pow (- lambda1 lambda2) 2))) (+ (* 4/3 (/ (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 3)))) (pow (- lambda1 lambda2) 2))) (* 4/3 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))))) (+ (* 1/3 (/ (* (pow lambda2 4) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda2 2)))) (+ (* 2/3 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2)))) (+ (* 2 phi1) (+ (* 2 (/ (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2)))) (pow (- lambda1 lambda2) 2))) (* 1/3 (/ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 4))) (pow (- lambda1 lambda2) 2)))))))))
* [misc]backup-simplify:  Simplify (/ (- (+ (* 4/3 (/ (* (pow lambda2 3) (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1))) (pow (- lambda1 lambda2) 2))) (+ (* 4/3 (/ (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 3)))) (pow (- lambda1 lambda2) 2))) (* 4/3 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))))) (+ (* 1/3 (/ (* (pow lambda2 4) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda2 2)))) (+ (* 2/3 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2)))) (+ (* 2 phi1) (+ (* 2 (/ (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2)))) (pow (- lambda1 lambda2) 2))) (* 1/3 (/ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 4))) (pow (- lambda1 lambda2) 2))))))))) (* 2 (sqrt (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))))) into (* 1/2 (* (- (+ (* 4/3 (/ (* (pow lambda2 3) (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1))) (pow (- lambda1 lambda2) 2))) (+ (* 4/3 (/ (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 3)))) (pow (- lambda1 lambda2) 2))) (* 4/3 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))))) (+ (* 1/3 (/ (* (pow lambda2 4) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) (+ (* 2 (/ (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2)))) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2)))) (+ (* 2 phi1) (+ (* 2/3 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda2 2)))) (* 1/3 (/ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 4))) (pow (- lambda1 lambda2) 2))))))))) (sqrt (/ 1 (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (- phi1 phi2) (- phi1 phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of (- phi1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in phi1
* [misc]taylor:  Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 0) into phi2
* [misc]backup-simplify:  Simplify (/ phi2 2) into (* 1/2 phi2)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 0) into phi2
* [misc]backup-simplify:  Simplify (/ phi2 2) into (* 1/2 phi2)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi2))) into (* (cos (* 1/2 phi2)) (- lambda1 lambda2))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi2))) into (* (cos (* 1/2 phi2)) (- lambda1 lambda2))
* [misc]backup-simplify:  Simplify (* (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) into (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))
* [misc]backup-simplify:  Simplify (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) into (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))) into (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in phi1
* [misc]taylor:  Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 0) into phi2
* [misc]backup-simplify:  Simplify (/ phi2 2) into (* 1/2 phi2)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 0) into phi2
* [misc]backup-simplify:  Simplify (/ phi2 2) into (* 1/2 phi2)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi2))) into (* (cos (* 1/2 phi2)) (- lambda1 lambda2))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi2))) into (* (cos (* 1/2 phi2)) (- lambda1 lambda2))
* [misc]backup-simplify:  Simplify (* (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) into (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))
* [misc]backup-simplify:  Simplify (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) into (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))) into (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in phi1
* [misc]taylor:  Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 0) into phi2
* [misc]backup-simplify:  Simplify (/ phi2 2) into (* 1/2 phi2)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 0) into phi2
* [misc]backup-simplify:  Simplify (/ phi2 2) into (* 1/2 phi2)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi2))) into (* (cos (* 1/2 phi2)) (- lambda1 lambda2))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi2))) into (* (cos (* 1/2 phi2)) (- lambda1 lambda2))
* [misc]backup-simplify:  Simplify (* (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) into (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))
* [misc]backup-simplify:  Simplify (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) into (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))) into (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (+ 0 (- phi2)) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (+ 0 (- phi2)) into (- phi2)
* [misc]backup-simplify:  Simplify (* (- phi2) (- phi2)) into (pow phi2 2)
* [misc]backup-simplify:  Simplify (* (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3) (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3)) into (pow (* (pow (cos (* 1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) 1/3)
* [misc]backup-simplify:  Simplify (* (pow (* (pow (cos (* 1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) 1/3) (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3)) into (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))
* [misc]backup-simplify:  Simplify (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) into (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))
* [misc]backup-simplify:  Simplify (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) into (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (- phi2) 1) (* 1 (- phi2))) into (- (* 2 phi2))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 2) (+ (* (* 1/2 phi2) (/ 0 2)))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2)))
* [misc]backup-simplify:  Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- lambda1 lambda2) (- (* 1/2 (sin (* 1/2 phi2))))) (* 0 (cos (* 1/2 phi2)))) into (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* (sin (* 1/2 phi2)) lambda1)))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 2) (+ (* (* 1/2 phi2) (/ 0 2)))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2)))
* [misc]backup-simplify:  Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- lambda1 lambda2) (- (* 1/2 (sin (* 1/2 phi2))))) (* 0 (cos (* 1/2 phi2)))) into (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* (sin (* 1/2 phi2)) lambda1)))
* [misc]backup-simplify:  Simplify (+ (* (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* (sin (* 1/2 phi2)) lambda1)))) (* (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* (sin (* 1/2 phi2)) lambda1))) (* (cos (* 1/2 phi2)) (- lambda1 lambda2)))) into (- (* 2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))) 1)) (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1)))) 1) into (- (* 2 (/ (* (sin (* 1/2 phi2)) (* lambda2 lambda1)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (/ (* (sin (* 1/2 phi2)) (pow lambda1 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))) (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (- (* 2 (/ (* (sin (* 1/2 phi2)) (* lambda2 lambda1)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (/ (* (sin (* 1/2 phi2)) (pow lambda1 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))) (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (* 0 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))) into (- (* 2/3 (/ (* (sin (* 1/2 phi2)) (* lambda2 lambda1)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda1 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))) (+ (* (/ (pow (- (* 2/3 (/ (* (sin (* 1/2 phi2)) (* lambda2 lambda1)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda1 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) 1) 1)))) into (* (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3) (- (* 2/3 (/ (* (sin (* 1/2 phi2)) (* lambda2 lambda1)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda1 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 2) (+ (* (* 1/2 phi2) (/ 0 2)))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2)))
* [misc]backup-simplify:  Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- lambda1 lambda2) (- (* 1/2 (sin (* 1/2 phi2))))) (* 0 (cos (* 1/2 phi2)))) into (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* (sin (* 1/2 phi2)) lambda1)))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 2) (+ (* (* 1/2 phi2) (/ 0 2)))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2)))
* [misc]backup-simplify:  Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- lambda1 lambda2) (- (* 1/2 (sin (* 1/2 phi2))))) (* 0 (cos (* 1/2 phi2)))) into (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* (sin (* 1/2 phi2)) lambda1)))
* [misc]backup-simplify:  Simplify (+ (* (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* (sin (* 1/2 phi2)) lambda1)))) (* (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* (sin (* 1/2 phi2)) lambda1))) (* (cos (* 1/2 phi2)) (- lambda1 lambda2)))) into (- (* 2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))) 1)) (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1)))) 1) into (- (* 2 (/ (* (sin (* 1/2 phi2)) (* lambda2 lambda1)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (/ (* (sin (* 1/2 phi2)) (pow lambda1 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))) (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (- (* 2 (/ (* (sin (* 1/2 phi2)) (* lambda2 lambda1)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (/ (* (sin (* 1/2 phi2)) (pow lambda1 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))) (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (* 0 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))) into (- (* 2/3 (/ (* (sin (* 1/2 phi2)) (* lambda2 lambda1)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda1 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))) (+ (* (/ (pow (- (* 2/3 (/ (* (sin (* 1/2 phi2)) (* lambda2 lambda1)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda1 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) 1) 1)))) into (* (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3) (- (* 2/3 (/ (* (sin (* 1/2 phi2)) (* lambda2 lambda1)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda1 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 2) (+ (* (* 1/2 phi2) (/ 0 2)))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2)))
* [misc]backup-simplify:  Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- lambda1 lambda2) (- (* 1/2 (sin (* 1/2 phi2))))) (* 0 (cos (* 1/2 phi2)))) into (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* (sin (* 1/2 phi2)) lambda1)))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 2) (+ (* (* 1/2 phi2) (/ 0 2)))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2)))
* [misc]backup-simplify:  Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- lambda1 lambda2) (- (* 1/2 (sin (* 1/2 phi2))))) (* 0 (cos (* 1/2 phi2)))) into (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* (sin (* 1/2 phi2)) lambda1)))
* [misc]backup-simplify:  Simplify (+ (* (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* (sin (* 1/2 phi2)) lambda1)))) (* (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* (sin (* 1/2 phi2)) lambda1))) (* (cos (* 1/2 phi2)) (- lambda1 lambda2)))) into (- (* 2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))) 1)) (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1)))) 1) into (- (* 2 (/ (* (sin (* 1/2 phi2)) (* lambda2 lambda1)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (/ (* (sin (* 1/2 phi2)) (pow lambda1 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))) (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (- (* 2 (/ (* (sin (* 1/2 phi2)) (* lambda2 lambda1)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (/ (* (sin (* 1/2 phi2)) (pow lambda1 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))) (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (* 0 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))) into (- (* 2/3 (/ (* (sin (* 1/2 phi2)) (* lambda2 lambda1)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda1 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))) (+ (* (/ (pow (- (* 2/3 (/ (* (sin (* 1/2 phi2)) (* lambda2 lambda1)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda1 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) 1) 1)))) into (* (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3) (- (* 2/3 (/ (* (sin (* 1/2 phi2)) (* lambda2 lambda1)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda1 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))))
* [misc]backup-simplify:  Simplify (+ (* (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3) (* (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3) (- (* 2/3 (/ (* (sin (* 1/2 phi2)) (* lambda2 lambda1)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda1 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))))) (* (* (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3) (- (* 2/3 (/ (* (sin (* 1/2 phi2)) (* lambda2 lambda1)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda1 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))))) (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3))) into (- (* 4/3 (* (pow (/ (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)) 1/3) (* (sin (* 1/2 phi2)) (* lambda1 lambda2)))) (+ (* 2/3 (* (pow (/ (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)) 1/3) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (* 2/3 (* (pow (/ (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)) 1/3) (* (sin (* 1/2 phi2)) (pow lambda1 2))))))
* [misc]backup-simplify:  Simplify (+ (* (pow (* (pow (cos (* 1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) 1/3) (* (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3) (- (* 2/3 (/ (* (sin (* 1/2 phi2)) (* lambda2 lambda1)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda1 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))))) (* (- (* 4/3 (* (pow (/ (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)) 1/3) (* (sin (* 1/2 phi2)) (* lambda1 lambda2)))) (+ (* 2/3 (* (pow (/ (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)) 1/3) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (* 2/3 (* (pow (/ (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)) 1/3) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))) (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3))) into (- (+ (* 4/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 3) lambda1))) (pow (- lambda1 lambda2) 2))) (+ (* 4/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 (pow lambda1 3)))) (pow (- lambda1 lambda2) 2))) (* 4/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda1 lambda2)))))) (+ (* 2 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) (pow lambda1 2)))) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 4))) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 2/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))) (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 4))) (pow (- lambda1 lambda2) 2))))))))
* [misc]backup-simplify:  Simplify (+ (- (* 2 phi2)) (- (+ (* 4/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 3) lambda1))) (pow (- lambda1 lambda2) 2))) (+ (* 4/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 (pow lambda1 3)))) (pow (- lambda1 lambda2) 2))) (* 4/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda1 lambda2)))))) (+ (* 2 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) (pow lambda1 2)))) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 4))) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 2/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))) (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 4))) (pow (- lambda1 lambda2) 2))))))))) into (- (+ (* 4/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 3) lambda1))) (pow (- lambda1 lambda2) 2))) (+ (* 4/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (* 4/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 (pow lambda1 3)))) (pow (- lambda1 lambda2) 2))))) (+ (* 2 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) (pow lambda1 2)))) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 4))) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 2/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 4))) (pow (- lambda1 lambda2) 2))) (* 2 phi2)))))))
* [misc]backup-simplify:  Simplify (/ (- (+ (* 4/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 3) lambda1))) (pow (- lambda1 lambda2) 2))) (+ (* 4/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (* 4/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 (pow lambda1 3)))) (pow (- lambda1 lambda2) 2))))) (+ (* 2 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) (pow lambda1 2)))) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 4))) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 2/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 4))) (pow (- lambda1 lambda2) 2))) (* 2 phi2))))))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) into (* 1/2 (* (- (+ (* 4/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 (pow lambda1 3)))) (pow (- lambda1 lambda2) 2))) (+ (* 4/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (* 4/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 3) lambda1))) (pow (- lambda1 lambda2) 2))))) (+ (* 2 phi2) (+ (* 2 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) (pow lambda1 2)))) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 4))) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 4))) (pow (- lambda1 lambda2) 2))) (* 2/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (- phi1 phi2) (- phi1 phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of (- phi1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in phi1
* [misc]taylor:  Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 0) into phi2
* [misc]backup-simplify:  Simplify (/ phi2 2) into (* 1/2 phi2)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 0) into phi2
* [misc]backup-simplify:  Simplify (/ phi2 2) into (* 1/2 phi2)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi2))) into (* (cos (* 1/2 phi2)) (- lambda1 lambda2))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi2))) into (* (cos (* 1/2 phi2)) (- lambda1 lambda2))
* [misc]backup-simplify:  Simplify (* (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) into (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))
* [misc]backup-simplify:  Simplify (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) into (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))) into (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in phi1
* [misc]taylor:  Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 0) into phi2
* [misc]backup-simplify:  Simplify (/ phi2 2) into (* 1/2 phi2)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 0) into phi2
* [misc]backup-simplify:  Simplify (/ phi2 2) into (* 1/2 phi2)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi2))) into (* (cos (* 1/2 phi2)) (- lambda1 lambda2))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi2))) into (* (cos (* 1/2 phi2)) (- lambda1 lambda2))
* [misc]backup-simplify:  Simplify (* (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) into (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))
* [misc]backup-simplify:  Simplify (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) into (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))) into (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in phi1
* [misc]taylor:  Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 0) into phi2
* [misc]backup-simplify:  Simplify (/ phi2 2) into (* 1/2 phi2)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 0) into phi2
* [misc]backup-simplify:  Simplify (/ phi2 2) into (* 1/2 phi2)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi2))) into (* (cos (* 1/2 phi2)) (- lambda1 lambda2))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi2))) into (* (cos (* 1/2 phi2)) (- lambda1 lambda2))
* [misc]backup-simplify:  Simplify (* (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) into (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))
* [misc]backup-simplify:  Simplify (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) into (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))) into (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (+ 0 (- phi2)) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (+ 0 (- phi2)) into (- phi2)
* [misc]backup-simplify:  Simplify (* (- phi2) (- phi2)) into (pow phi2 2)
* [misc]backup-simplify:  Simplify (* (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3) (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3)) into (pow (* (pow (cos (* 1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) 1/3)
* [misc]backup-simplify:  Simplify (* (pow (* (pow (cos (* 1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) 1/3) (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3)) into (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))
* [misc]backup-simplify:  Simplify (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) into (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))
* [misc]backup-simplify:  Simplify (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) into (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (- phi2) 1) (* 1 (- phi2))) into (- (* 2 phi2))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 2) (+ (* (* 1/2 phi2) (/ 0 2)))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2)))
* [misc]backup-simplify:  Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- lambda1 lambda2) (- (* 1/2 (sin (* 1/2 phi2))))) (* 0 (cos (* 1/2 phi2)))) into (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* (sin (* 1/2 phi2)) lambda1)))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 2) (+ (* (* 1/2 phi2) (/ 0 2)))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2)))
* [misc]backup-simplify:  Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- lambda1 lambda2) (- (* 1/2 (sin (* 1/2 phi2))))) (* 0 (cos (* 1/2 phi2)))) into (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* (sin (* 1/2 phi2)) lambda1)))
* [misc]backup-simplify:  Simplify (+ (* (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* (sin (* 1/2 phi2)) lambda1)))) (* (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* (sin (* 1/2 phi2)) lambda1))) (* (cos (* 1/2 phi2)) (- lambda1 lambda2)))) into (- (* 2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))) 1)) (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1)))) 1) into (- (* 2 (/ (* (sin (* 1/2 phi2)) (* lambda2 lambda1)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (/ (* (sin (* 1/2 phi2)) (pow lambda1 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))) (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (- (* 2 (/ (* (sin (* 1/2 phi2)) (* lambda2 lambda1)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (/ (* (sin (* 1/2 phi2)) (pow lambda1 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))) (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (* 0 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))) into (- (* 2/3 (/ (* (sin (* 1/2 phi2)) (* lambda2 lambda1)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda1 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))) (+ (* (/ (pow (- (* 2/3 (/ (* (sin (* 1/2 phi2)) (* lambda2 lambda1)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda1 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) 1) 1)))) into (* (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3) (- (* 2/3 (/ (* (sin (* 1/2 phi2)) (* lambda2 lambda1)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda1 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 2) (+ (* (* 1/2 phi2) (/ 0 2)))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2)))
* [misc]backup-simplify:  Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- lambda1 lambda2) (- (* 1/2 (sin (* 1/2 phi2))))) (* 0 (cos (* 1/2 phi2)))) into (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* (sin (* 1/2 phi2)) lambda1)))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 2) (+ (* (* 1/2 phi2) (/ 0 2)))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2)))
* [misc]backup-simplify:  Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- lambda1 lambda2) (- (* 1/2 (sin (* 1/2 phi2))))) (* 0 (cos (* 1/2 phi2)))) into (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* (sin (* 1/2 phi2)) lambda1)))
* [misc]backup-simplify:  Simplify (+ (* (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* (sin (* 1/2 phi2)) lambda1)))) (* (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* (sin (* 1/2 phi2)) lambda1))) (* (cos (* 1/2 phi2)) (- lambda1 lambda2)))) into (- (* 2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))) 1)) (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1)))) 1) into (- (* 2 (/ (* (sin (* 1/2 phi2)) (* lambda2 lambda1)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (/ (* (sin (* 1/2 phi2)) (pow lambda1 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))) (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (- (* 2 (/ (* (sin (* 1/2 phi2)) (* lambda2 lambda1)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (/ (* (sin (* 1/2 phi2)) (pow lambda1 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))) (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (* 0 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))) into (- (* 2/3 (/ (* (sin (* 1/2 phi2)) (* lambda2 lambda1)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda1 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))) (+ (* (/ (pow (- (* 2/3 (/ (* (sin (* 1/2 phi2)) (* lambda2 lambda1)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda1 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) 1) 1)))) into (* (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3) (- (* 2/3 (/ (* (sin (* 1/2 phi2)) (* lambda2 lambda1)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda1 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 2) (+ (* (* 1/2 phi2) (/ 0 2)))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2)))
* [misc]backup-simplify:  Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- lambda1 lambda2) (- (* 1/2 (sin (* 1/2 phi2))))) (* 0 (cos (* 1/2 phi2)))) into (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* (sin (* 1/2 phi2)) lambda1)))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 2) (+ (* (* 1/2 phi2) (/ 0 2)))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2)))
* [misc]backup-simplify:  Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- lambda1 lambda2) (- (* 1/2 (sin (* 1/2 phi2))))) (* 0 (cos (* 1/2 phi2)))) into (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* (sin (* 1/2 phi2)) lambda1)))
* [misc]backup-simplify:  Simplify (+ (* (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* (sin (* 1/2 phi2)) lambda1)))) (* (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* (sin (* 1/2 phi2)) lambda1))) (* (cos (* 1/2 phi2)) (- lambda1 lambda2)))) into (- (* 2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))) 1)) (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1)))) 1) into (- (* 2 (/ (* (sin (* 1/2 phi2)) (* lambda2 lambda1)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (/ (* (sin (* 1/2 phi2)) (pow lambda1 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))) (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (- (* 2 (/ (* (sin (* 1/2 phi2)) (* lambda2 lambda1)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (/ (* (sin (* 1/2 phi2)) (pow lambda1 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))) (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (* 0 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))) into (- (* 2/3 (/ (* (sin (* 1/2 phi2)) (* lambda2 lambda1)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda1 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))) (+ (* (/ (pow (- (* 2/3 (/ (* (sin (* 1/2 phi2)) (* lambda2 lambda1)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda1 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) 1) 1)))) into (* (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3) (- (* 2/3 (/ (* (sin (* 1/2 phi2)) (* lambda2 lambda1)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda1 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))))
* [misc]backup-simplify:  Simplify (+ (* (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3) (* (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3) (- (* 2/3 (/ (* (sin (* 1/2 phi2)) (* lambda2 lambda1)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda1 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))))) (* (* (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3) (- (* 2/3 (/ (* (sin (* 1/2 phi2)) (* lambda2 lambda1)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda1 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))))) (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3))) into (- (* 4/3 (* (pow (/ (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)) 1/3) (* (sin (* 1/2 phi2)) (* lambda1 lambda2)))) (+ (* 2/3 (* (pow (/ (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)) 1/3) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (* 2/3 (* (pow (/ (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)) 1/3) (* (sin (* 1/2 phi2)) (pow lambda1 2))))))
* [misc]backup-simplify:  Simplify (+ (* (pow (* (pow (cos (* 1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) 1/3) (* (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3) (- (* 2/3 (/ (* (sin (* 1/2 phi2)) (* lambda2 lambda1)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda1 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))))) (* (- (* 4/3 (* (pow (/ (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)) 1/3) (* (sin (* 1/2 phi2)) (* lambda1 lambda2)))) (+ (* 2/3 (* (pow (/ (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)) 1/3) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (* 2/3 (* (pow (/ (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)) 1/3) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))) (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3))) into (- (+ (* 4/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 3) lambda1))) (pow (- lambda1 lambda2) 2))) (+ (* 4/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 (pow lambda1 3)))) (pow (- lambda1 lambda2) 2))) (* 4/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda1 lambda2)))))) (+ (* 2 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) (pow lambda1 2)))) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 4))) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 2/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))) (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 4))) (pow (- lambda1 lambda2) 2))))))))
* [misc]backup-simplify:  Simplify (+ (- (* 2 phi2)) (- (+ (* 4/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 3) lambda1))) (pow (- lambda1 lambda2) 2))) (+ (* 4/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 (pow lambda1 3)))) (pow (- lambda1 lambda2) 2))) (* 4/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda1 lambda2)))))) (+ (* 2 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) (pow lambda1 2)))) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 4))) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 2/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))) (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 4))) (pow (- lambda1 lambda2) 2))))))))) into (- (+ (* 4/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 3) lambda1))) (pow (- lambda1 lambda2) 2))) (+ (* 4/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (* 4/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 (pow lambda1 3)))) (pow (- lambda1 lambda2) 2))))) (+ (* 2 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) (pow lambda1 2)))) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 4))) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 2/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 4))) (pow (- lambda1 lambda2) 2))) (* 2 phi2)))))))
* [misc]backup-simplify:  Simplify (/ (- (+ (* 4/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 3) lambda1))) (pow (- lambda1 lambda2) 2))) (+ (* 4/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (* 4/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 (pow lambda1 3)))) (pow (- lambda1 lambda2) 2))))) (+ (* 2 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) (pow lambda1 2)))) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 4))) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 2/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 4))) (pow (- lambda1 lambda2) 2))) (* 2 phi2))))))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) into (* 1/2 (* (- (+ (* 4/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 (pow lambda1 3)))) (pow (- lambda1 lambda2) 2))) (+ (* 4/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (* 4/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 3) lambda1))) (pow (- lambda1 lambda2) 2))))) (+ (* 2 phi2) (+ (* 2 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) (pow lambda1 2)))) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 4))) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 4))) (pow (- lambda1 lambda2) 2))) (* 2/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))))
* [misc]taylor:  Taking taylor expansion of (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (pow lambda1 2) (pow lambda2 2)) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (pow lambda1 2) (pow lambda2 2))) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 2 (* lambda2 lambda1)) into (* 2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (* lambda2 lambda1))) into (- (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (+ (pow lambda1 2) (pow lambda2 2)) (- (* 2 (* lambda2 lambda1)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (sqrt (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) into (sqrt (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))
* [misc]backup-simplify:  Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (pow lambda1 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (pow lambda2 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 lambda1)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (* lambda2 lambda1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (* lambda2 lambda1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (pow lambda1 2) (pow lambda2 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* lambda2 lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* lambda2 0) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow lambda2 2) 0) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (sqrt (pow lambda2 2)) into lambda2
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 1) (* 0 0)) into lambda2
* [misc]backup-simplify:  Simplify (+ (* 2 lambda2) (* 0 0)) into (* 2 lambda2)
* [misc]backup-simplify:  Simplify (- (* 2 lambda2)) into (- (* 2 lambda2))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 lambda2))) into (- (* 2 lambda2))
* [misc]backup-simplify:  Simplify (/ (- (* 2 lambda2)) (* 2 (sqrt (pow lambda2 2)))) into -1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (- (+ (* 4/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 (pow lambda1 3)))) (pow (- lambda1 lambda2) 2))) (+ (* 4/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (* 4/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 3) lambda1))) (pow (- lambda1 lambda2) 2))))) (+ (* 2 phi2) (+ (* 2 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) (pow lambda1 2)))) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 4))) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 4))) (pow (- lambda1 lambda2) 2))) (* 2/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 (pow lambda1 3)))) (pow (- lambda1 lambda2) 2))) (+ (* 4/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (* 4/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 3) lambda1))) (pow (- lambda1 lambda2) 2))))) (+ (* 2 phi2) (+ (* 2 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) (pow lambda1 2)))) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 4))) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 4))) (pow (- lambda1 lambda2) 2))) (* 2/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 (pow lambda1 3)))) (pow (- lambda1 lambda2) 2))) (+ (* 4/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (* 4/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 3) lambda1))) (pow (- lambda1 lambda2) 2))))) (+ (* 2 phi2) (+ (* 2 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) (pow lambda1 2)))) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 4))) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 4))) (pow (- lambda1 lambda2) 2))) (* 2/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (* 4/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 (pow lambda1 3)))) (pow (- lambda1 lambda2) 2))) (+ (* 4/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (* 4/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 3) lambda1))) (pow (- lambda1 lambda2) 2))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 4/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 (pow lambda1 3)))) (pow (- lambda1 lambda2) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of 4/3 in phi2
* [misc]backup-simplify:  Simplify 4/3 into 4/3
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 (pow lambda1 3)))) (pow (- lambda1 lambda2) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 (pow lambda1 3)))) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sin (* 1/2 phi2)) (* lambda2 (pow lambda1 3))) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 (pow lambda1 3)) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 3) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* lambda1 (pow lambda1 2)) into (pow lambda1 3)
* [misc]backup-simplify:  Simplify (* lambda2 (pow lambda1 3)) into (* lambda2 (pow lambda1 3))
* [misc]backup-simplify:  Simplify (* 0 (* lambda2 (pow lambda1 3))) into 0
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda1 0) (* 0 (pow lambda1 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 (pow lambda1 3))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1/2 (* lambda2 (pow lambda1 3)))) into (* 1/2 (* lambda2 (pow lambda1 3)))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (* 1/2 (* lambda2 (pow lambda1 3)))) (* 0 0)) into (* 1/2 (* lambda2 (pow lambda1 3)))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
* [misc]backup-simplify:  Simplify (/ (* 1/2 (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2)) into (* 1/2 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (* 4/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 3) lambda1))) (pow (- lambda1 lambda2) 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 4/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of 4/3 in phi2
* [misc]backup-simplify:  Simplify 4/3 into 4/3
* [misc]taylor:  Taking taylor expansion of (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sin (* 1/2 phi2)) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* 4/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 3) lambda1))) (pow (- lambda1 lambda2) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of 4/3 in phi2
* [misc]backup-simplify:  Simplify 4/3 into 4/3
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 3) lambda1))) (pow (- lambda1 lambda2) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 3) lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sin (* 1/2 phi2)) (* (pow lambda2 3) lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow lambda2 3) lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 3) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* lambda2 (pow lambda2 2)) into (pow lambda2 3)
* [misc]backup-simplify:  Simplify (* (pow lambda2 3) lambda1) into (* (pow lambda2 3) lambda1)
* [misc]backup-simplify:  Simplify (* 0 (* (pow lambda2 3) lambda1)) into 0
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 (pow lambda2 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow lambda2 3) 0) (* 0 lambda1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1/2 (* (pow lambda2 3) lambda1))) into (* 1/2 (* (pow lambda2 3) lambda1))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (* 1/2 (* (pow lambda2 3) lambda1))) (* 0 0)) into (* 1/2 (* (pow lambda2 3) lambda1))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
* [misc]backup-simplify:  Simplify (/ (* 1/2 (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2)) into (* 1/2 (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 phi2) (+ (* 2 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) (pow lambda1 2)))) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 4))) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 4))) (pow (- lambda1 lambda2) 2))) (* 2/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) (pow lambda1 2)))) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 4))) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 4))) (pow (- lambda1 lambda2) 2))) (* 2/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) (pow lambda1 2)))) (pow (- lambda1 lambda2) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) (pow lambda1 2)))) (pow (- lambda1 lambda2) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) (pow lambda1 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sin (* 1/2 phi2)) (* (pow lambda2 2) (pow lambda1 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow lambda2 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* (pow lambda2 2) (pow lambda1 2)) into (* (pow lambda2 2) (pow lambda1 2))
* [misc]backup-simplify:  Simplify (* 0 (* (pow lambda2 2) (pow lambda1 2))) into 0
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow lambda2 2) 0) (* 0 (pow lambda1 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1/2 (* (pow lambda2 2) (pow lambda1 2)))) into (* 1/2 (* (pow lambda2 2) (pow lambda1 2)))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (* 1/2 (* (pow lambda2 2) (pow lambda1 2)))) (* 0 0)) into (* 1/2 (* (pow lambda2 2) (pow lambda1 2)))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
* [misc]backup-simplify:  Simplify (/ (* 1/2 (* (pow lambda2 2) (pow lambda1 2))) (pow (- lambda1 lambda2) 2)) into (* 1/2 (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 4))) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 4))) (pow (- lambda1 lambda2) 2))) (* 2/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 4))) (pow (- lambda1 lambda2) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/3 in phi2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 4))) (pow (- lambda1 lambda2) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 4))) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sin (* 1/2 phi2)) (pow lambda1 4)) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 4) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* (pow lambda1 2) (pow lambda1 2)) into (pow lambda1 4)
* [misc]backup-simplify:  Simplify (* 0 (pow lambda1 4)) into 0
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow lambda1 2) 0) (* 0 (pow lambda1 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1/2 (pow lambda1 4))) into (* 1/2 (pow lambda1 4))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (* 1/2 (pow lambda1 4))) (* 0 0)) into (* 1/2 (pow lambda1 4))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
* [misc]backup-simplify:  Simplify (/ (* 1/2 (pow lambda1 4)) (pow (- lambda1 lambda2) 2)) into (* 1/2 (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 4))) (pow (- lambda1 lambda2) 2))) (* 2/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 2/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of 2/3 in phi2
* [misc]backup-simplify:  Simplify 2/3 into 2/3
* [misc]taylor:  Taking taylor expansion of (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sin (* 1/2 phi2)) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 4))) (pow (- lambda1 lambda2) 2))) (* 2/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 4))) (pow (- lambda1 lambda2) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/3 in phi2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 4))) (pow (- lambda1 lambda2) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 4))) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sin (* 1/2 phi2)) (pow lambda2 4)) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 4) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* (pow lambda2 2) (pow lambda2 2)) into (pow lambda2 4)
* [misc]backup-simplify:  Simplify (* 0 (pow lambda2 4)) into 0
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow lambda2 2) 0) (* 0 (pow lambda2 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1/2 (pow lambda2 4))) into (* 1/2 (pow lambda2 4))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (* 1/2 (pow lambda2 4))) (* 0 0)) into (* 1/2 (pow lambda2 4))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
* [misc]backup-simplify:  Simplify (/ (* 1/2 (pow lambda2 4)) (pow (- lambda1 lambda2) 2)) into (* 1/2 (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2)))
* [misc]taylor:  Taking taylor expansion of (* 2/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of 2/3 in phi2
* [misc]backup-simplify:  Simplify 2/3 into 2/3
* [misc]taylor:  Taking taylor expansion of (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sin (* 1/2 phi2)) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (pow lambda1 2) (pow lambda2 2)) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (pow lambda1 2) (pow lambda2 2))) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 2 (* lambda2 lambda1)) into (* 2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (* lambda2 lambda1))) into (- (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (+ (pow lambda1 2) (pow lambda2 2)) (- (* 2 (* lambda2 lambda1)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) into (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) into (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))))
* [misc]backup-simplify:  Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (pow lambda1 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (pow lambda2 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 lambda1)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (* lambda2 lambda1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (* lambda2 lambda1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) (/ 0 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))))) into 0
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 0 (* lambda2 lambda1)) into 0
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (* 4/3 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 0 (pow lambda2 2)) into 0
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (* 2/3 0) into 0
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 0 (pow lambda1 2)) into 0
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (* 2/3 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))))) into 0
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of -1 in lambda2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- phi2) 0) (+ (* 1 1) (* 0 (- phi2)))) into 1
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 phi2)) (- 1/8)) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (cos (* 1/2 phi2))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 phi2) (/ 0 2)) (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 phi2)) 0) (+ (* 0 1/2) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (- (* 1/8 (cos (* 1/2 phi2)))) 0) into (- (* 1/8 (cos (* 1/2 phi2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- lambda1 lambda2) (- (* 1/8 (cos (* 1/2 phi2))))) (+ (* 0 (- (* 1/2 (sin (* 1/2 phi2))))) (* 0 (cos (* 1/2 phi2))))) into (- (* 1/8 (* (cos (* 1/2 phi2)) lambda2)) (* 1/8 (* (cos (* 1/2 phi2)) lambda1)))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 phi2)) (- 1/8)) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (cos (* 1/2 phi2))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 phi2) (/ 0 2)) (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 phi2)) 0) (+ (* 0 1/2) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (- (* 1/8 (cos (* 1/2 phi2)))) 0) into (- (* 1/8 (cos (* 1/2 phi2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- lambda1 lambda2) (- (* 1/8 (cos (* 1/2 phi2))))) (+ (* 0 (- (* 1/2 (sin (* 1/2 phi2))))) (* 0 (cos (* 1/2 phi2))))) into (- (* 1/8 (* (cos (* 1/2 phi2)) lambda2)) (* 1/8 (* (cos (* 1/2 phi2)) lambda1)))
* [misc]backup-simplify:  Simplify (+ (* (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (- (* 1/8 (* (cos (* 1/2 phi2)) lambda2)) (* 1/8 (* (cos (* 1/2 phi2)) lambda1)))) (+ (* (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* (sin (* 1/2 phi2)) lambda1))) (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* (sin (* 1/2 phi2)) lambda1)))) (* (- (* 1/8 (* (cos (* 1/2 phi2)) lambda2)) (* 1/8 (* (cos (* 1/2 phi2)) lambda1))) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))))) into (- (+ (* 1/4 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (* 1/2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) (* 1/4 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2))))) (+ (* 1/2 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (* 1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2))) (* 1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))) 2)) (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 1/4 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (* 1/2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) (* 1/4 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2))))) (+ (* 1/2 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (* 1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2))) (* 1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))))))) 1)) (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1)))) 2) into (* 1/2 (- (+ (* 4 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 1/2 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) (+ (* 4 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (/ (* lambda2 lambda1) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))))))) (+ (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4))) (+ (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) (+ (* 1/2 (/ (pow lambda1 2) (pow (- lambda1 lambda2) 2))) (+ (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4))) (+ (* 1/2 (/ (pow lambda2 2) (pow (- lambda1 lambda2) 2))) (* 6 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))))))))))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (* 1/2 (- (+ (* 4 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 1/2 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) (+ (* 4 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (/ (* lambda2 lambda1) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))))))) (+ (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4))) (+ (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) (+ (* 1/2 (/ (pow lambda1 2) (pow (- lambda1 lambda2) 2))) (+ (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4))) (+ (* 1/2 (/ (pow lambda2 2) (pow (- lambda1 lambda2) 2))) (* 6 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))))))))))) (+ (* 0 (- (* 2 (/ (* (sin (* 1/2 phi2)) (* lambda2 lambda1)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (/ (* (sin (* 1/2 phi2)) (pow lambda1 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))) (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (* 0 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))))) into (- (+ (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 1/12 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) (+ (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 1/6 (/ (* lambda2 lambda1) (pow (- lambda1 lambda2) 2))) (* 1/12 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))))))) (+ (* 1/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 1/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) (+ (* 1/12 (/ (pow lambda1 2) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 1/12 (/ (pow lambda2 2) (pow (- lambda1 lambda2) 2))) (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))))))))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))) (+ (* (/ (pow (- (* 2/3 (/ (* (sin (* 1/2 phi2)) (* lambda2 lambda1)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda1 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) 2) 2)) (* (/ (pow (- (+ (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 1/12 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) (+ (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 1/6 (/ (* lambda2 lambda1) (pow (- lambda1 lambda2) 2))) (* 1/12 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))))))) (+ (* 1/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 1/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) (+ (* 1/12 (/ (pow lambda1 2) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 1/12 (/ (pow lambda2 2) (pow (- lambda1 lambda2) 2))) (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4))))))))) 1) 1)))) into (* (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3) (- (+ (* 1/12 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) (+ (* 4/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 4/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 1/6 (/ (* lambda2 lambda1) (pow (- lambda1 lambda2) 2))) (* 1/12 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))))))) (+ (* 1/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) (+ (* 1/12 (/ (pow lambda1 2) (pow (- lambda1 lambda2) 2))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 1/12 (/ (pow lambda2 2) (pow (- lambda1 lambda2) 2))) (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))))))))))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 phi2)) (- 1/8)) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (cos (* 1/2 phi2))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 phi2) (/ 0 2)) (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 phi2)) 0) (+ (* 0 1/2) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (- (* 1/8 (cos (* 1/2 phi2)))) 0) into (- (* 1/8 (cos (* 1/2 phi2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- lambda1 lambda2) (- (* 1/8 (cos (* 1/2 phi2))))) (+ (* 0 (- (* 1/2 (sin (* 1/2 phi2))))) (* 0 (cos (* 1/2 phi2))))) into (- (* 1/8 (* (cos (* 1/2 phi2)) lambda2)) (* 1/8 (* (cos (* 1/2 phi2)) lambda1)))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 phi2)) (- 1/8)) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (cos (* 1/2 phi2))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 phi2) (/ 0 2)) (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 phi2)) 0) (+ (* 0 1/2) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (- (* 1/8 (cos (* 1/2 phi2)))) 0) into (- (* 1/8 (cos (* 1/2 phi2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- lambda1 lambda2) (- (* 1/8 (cos (* 1/2 phi2))))) (+ (* 0 (- (* 1/2 (sin (* 1/2 phi2))))) (* 0 (cos (* 1/2 phi2))))) into (- (* 1/8 (* (cos (* 1/2 phi2)) lambda2)) (* 1/8 (* (cos (* 1/2 phi2)) lambda1)))
* [misc]backup-simplify:  Simplify (+ (* (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (- (* 1/8 (* (cos (* 1/2 phi2)) lambda2)) (* 1/8 (* (cos (* 1/2 phi2)) lambda1)))) (+ (* (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* (sin (* 1/2 phi2)) lambda1))) (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* (sin (* 1/2 phi2)) lambda1)))) (* (- (* 1/8 (* (cos (* 1/2 phi2)) lambda2)) (* 1/8 (* (cos (* 1/2 phi2)) lambda1))) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))))) into (- (+ (* 1/4 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (* 1/2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) (* 1/4 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2))))) (+ (* 1/2 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (* 1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2))) (* 1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))) 2)) (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 1/4 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (* 1/2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) (* 1/4 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2))))) (+ (* 1/2 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (* 1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2))) (* 1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))))))) 1)) (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1)))) 2) into (* 1/2 (- (+ (* 4 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 1/2 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) (+ (* 4 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (/ (* lambda2 lambda1) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))))))) (+ (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4))) (+ (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) (+ (* 1/2 (/ (pow lambda1 2) (pow (- lambda1 lambda2) 2))) (+ (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4))) (+ (* 1/2 (/ (pow lambda2 2) (pow (- lambda1 lambda2) 2))) (* 6 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))))))))))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (* 1/2 (- (+ (* 4 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 1/2 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) (+ (* 4 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (/ (* lambda2 lambda1) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))))))) (+ (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4))) (+ (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) (+ (* 1/2 (/ (pow lambda1 2) (pow (- lambda1 lambda2) 2))) (+ (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4))) (+ (* 1/2 (/ (pow lambda2 2) (pow (- lambda1 lambda2) 2))) (* 6 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))))))))))) (+ (* 0 (- (* 2 (/ (* (sin (* 1/2 phi2)) (* lambda2 lambda1)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (/ (* (sin (* 1/2 phi2)) (pow lambda1 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))) (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (* 0 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))))) into (- (+ (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 1/12 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) (+ (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 1/6 (/ (* lambda2 lambda1) (pow (- lambda1 lambda2) 2))) (* 1/12 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))))))) (+ (* 1/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 1/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) (+ (* 1/12 (/ (pow lambda1 2) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 1/12 (/ (pow lambda2 2) (pow (- lambda1 lambda2) 2))) (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))))))))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))) (+ (* (/ (pow (- (* 2/3 (/ (* (sin (* 1/2 phi2)) (* lambda2 lambda1)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda1 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) 2) 2)) (* (/ (pow (- (+ (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 1/12 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) (+ (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 1/6 (/ (* lambda2 lambda1) (pow (- lambda1 lambda2) 2))) (* 1/12 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))))))) (+ (* 1/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 1/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) (+ (* 1/12 (/ (pow lambda1 2) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 1/12 (/ (pow lambda2 2) (pow (- lambda1 lambda2) 2))) (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4))))))))) 1) 1)))) into (* (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3) (- (+ (* 1/12 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) (+ (* 4/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 4/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 1/6 (/ (* lambda2 lambda1) (pow (- lambda1 lambda2) 2))) (* 1/12 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))))))) (+ (* 1/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) (+ (* 1/12 (/ (pow lambda1 2) (pow (- lambda1 lambda2) 2))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 1/12 (/ (pow lambda2 2) (pow (- lambda1 lambda2) 2))) (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))))))))))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 phi2)) (- 1/8)) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (cos (* 1/2 phi2))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 phi2) (/ 0 2)) (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 phi2)) 0) (+ (* 0 1/2) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (- (* 1/8 (cos (* 1/2 phi2)))) 0) into (- (* 1/8 (cos (* 1/2 phi2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- lambda1 lambda2) (- (* 1/8 (cos (* 1/2 phi2))))) (+ (* 0 (- (* 1/2 (sin (* 1/2 phi2))))) (* 0 (cos (* 1/2 phi2))))) into (- (* 1/8 (* (cos (* 1/2 phi2)) lambda2)) (* 1/8 (* (cos (* 1/2 phi2)) lambda1)))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 phi2)) (- 1/8)) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (cos (* 1/2 phi2))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 phi2) (/ 0 2)) (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 phi2)) 0) (+ (* 0 1/2) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (- (* 1/8 (cos (* 1/2 phi2)))) 0) into (- (* 1/8 (cos (* 1/2 phi2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- lambda1 lambda2) (- (* 1/8 (cos (* 1/2 phi2))))) (+ (* 0 (- (* 1/2 (sin (* 1/2 phi2))))) (* 0 (cos (* 1/2 phi2))))) into (- (* 1/8 (* (cos (* 1/2 phi2)) lambda2)) (* 1/8 (* (cos (* 1/2 phi2)) lambda1)))
* [misc]backup-simplify:  Simplify (+ (* (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (- (* 1/8 (* (cos (* 1/2 phi2)) lambda2)) (* 1/8 (* (cos (* 1/2 phi2)) lambda1)))) (+ (* (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* (sin (* 1/2 phi2)) lambda1))) (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* (sin (* 1/2 phi2)) lambda1)))) (* (- (* 1/8 (* (cos (* 1/2 phi2)) lambda2)) (* 1/8 (* (cos (* 1/2 phi2)) lambda1))) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))))) into (- (+ (* 1/4 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (* 1/2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) (* 1/4 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2))))) (+ (* 1/2 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (* 1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2))) (* 1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))) 2)) (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 1/4 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (* 1/2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) (* 1/4 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2))))) (+ (* 1/2 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (* 1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2))) (* 1/4 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))))))) 1)) (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1)))) 2) into (* 1/2 (- (+ (* 4 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 1/2 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) (+ (* 4 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (/ (* lambda2 lambda1) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))))))) (+ (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4))) (+ (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) (+ (* 1/2 (/ (pow lambda1 2) (pow (- lambda1 lambda2) 2))) (+ (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4))) (+ (* 1/2 (/ (pow lambda2 2) (pow (- lambda1 lambda2) 2))) (* 6 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))))))))))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (* 1/2 (- (+ (* 4 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 1/2 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) (+ (* 4 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (/ (* lambda2 lambda1) (pow (- lambda1 lambda2) 2)) (* 1/2 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))))))) (+ (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4))) (+ (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) (+ (* 1/2 (/ (pow lambda1 2) (pow (- lambda1 lambda2) 2))) (+ (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4))) (+ (* 1/2 (/ (pow lambda2 2) (pow (- lambda1 lambda2) 2))) (* 6 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))))))))))) (+ (* 0 (- (* 2 (/ (* (sin (* 1/2 phi2)) (* lambda2 lambda1)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (/ (* (sin (* 1/2 phi2)) (pow lambda1 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))) (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) (* 0 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))))) into (- (+ (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 1/12 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) (+ (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 1/6 (/ (* lambda2 lambda1) (pow (- lambda1 lambda2) 2))) (* 1/12 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))))))) (+ (* 1/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 1/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) (+ (* 1/12 (/ (pow lambda1 2) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 1/12 (/ (pow lambda2 2) (pow (- lambda1 lambda2) 2))) (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))))))))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))) (+ (* (/ (pow (- (* 2/3 (/ (* (sin (* 1/2 phi2)) (* lambda2 lambda1)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda1 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) 2) 2)) (* (/ (pow (- (+ (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 1/12 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) (+ (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 1/6 (/ (* lambda2 lambda1) (pow (- lambda1 lambda2) 2))) (* 1/12 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))))))) (+ (* 1/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 1/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) (+ (* 1/12 (/ (pow lambda1 2) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 1/12 (/ (pow lambda2 2) (pow (- lambda1 lambda2) 2))) (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4))))))))) 1) 1)))) into (* (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3) (- (+ (* 1/12 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) (+ (* 4/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 4/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 1/6 (/ (* lambda2 lambda1) (pow (- lambda1 lambda2) 2))) (* 1/12 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))))))) (+ (* 1/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) (+ (* 1/12 (/ (pow lambda1 2) (pow (- lambda1 lambda2) 2))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 1/12 (/ (pow lambda2 2) (pow (- lambda1 lambda2) 2))) (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))))))))))
* [misc]backup-simplify:  Simplify (+ (* (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3) (* (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3) (- (+ (* 1/12 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) (+ (* 4/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 4/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 1/6 (/ (* lambda2 lambda1) (pow (- lambda1 lambda2) 2))) (* 1/12 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))))))) (+ (* 1/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) (+ (* 1/12 (/ (pow lambda1 2) (pow (- lambda1 lambda2) 2))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 1/12 (/ (pow lambda2 2) (pow (- lambda1 lambda2) 2))) (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))))))))))) (+ (* (* (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3) (- (* 2/3 (/ (* (sin (* 1/2 phi2)) (* lambda2 lambda1)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda1 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))))) (* (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3) (- (* 2/3 (/ (* (sin (* 1/2 phi2)) (* lambda2 lambda1)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda1 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))))) (* (* (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3) (- (+ (* 1/12 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) (+ (* 4/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 4/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 1/6 (/ (* lambda2 lambda1) (pow (- lambda1 lambda2) 2))) (* 1/12 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))))))) (+ (* 1/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) (+ (* 1/12 (/ (pow lambda1 2) (pow (- lambda1 lambda2) 2))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 1/12 (/ (pow lambda2 2) (pow (- lambda1 lambda2) 2))) (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4))))))))))) (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3)))) into (- (+ (* 4/9 (* (pow (/ 1 (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 8))) 1/3) (* (pow (sin (* 1/2 phi2)) 2) (* lambda1 (pow lambda2 3))))) (+ (* 1/6 (* (pow (/ (pow (cos (* 1/2 phi2)) 4) (pow (- lambda1 lambda2) 2)) 1/3) (* lambda2 lambda1))) (+ (* 4/9 (* (pow (/ 1 (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 8))) 1/3) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 3) lambda2)))) (+ (* 1/6 (* (pow (/ 1 (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) 1/3) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2)))) (+ (* 1/6 (* (pow (/ (pow (cos (* 1/2 phi2)) 4) (pow (- lambda1 lambda2) 2)) 1/3) (* lambda1 lambda2))) (* 1/6 (* (pow (/ 1 (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) 1/3) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2))))))))) (+ (* 2/3 (* (pow (/ 1 (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 8))) 1/3) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 2) (pow lambda2 2))))) (+ (* 1/6 (* (pow (/ (pow (cos (* 1/2 phi2)) 4) (pow (- lambda1 lambda2) 2)) 1/3) (pow lambda2 2))) (+ (* 1/9 (* (pow (/ 1 (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 8))) 1/3) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)))) (+ (* 1/6 (* (pow (/ 1 (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) 1/3) (* (pow (sin (* 1/2 phi2)) 2) (* lambda1 lambda2)))) (+ (* 1/6 (* (pow (/ (pow (cos (* 1/2 phi2)) 4) (pow (- lambda1 lambda2) 2)) 1/3) (pow lambda1 2))) (+ (* 1/9 (* (pow (/ 1 (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 8))) 1/3) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)))) (* 1/6 (* (pow (/ 1 (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) 1/3) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1)))))))))))
* [misc]backup-simplify:  Simplify (+ (* (pow (* (pow (cos (* 1/2 phi2)) 4) (pow (- lambda1 lambda2) 4)) 1/3) (* (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3) (- (+ (* 1/12 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) (+ (* 4/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 4/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 1/6 (/ (* lambda2 lambda1) (pow (- lambda1 lambda2) 2))) (* 1/12 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))))))) (+ (* 1/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) (+ (* 1/12 (/ (pow lambda1 2) (pow (- lambda1 lambda2) 2))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))) (+ (* 1/12 (/ (pow lambda2 2) (pow (- lambda1 lambda2) 2))) (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 4)))))))))))) (+ (* (- (* 4/3 (* (pow (/ (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)) 1/3) (* (sin (* 1/2 phi2)) (* lambda1 lambda2)))) (+ (* 2/3 (* (pow (/ (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)) 1/3) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (* 2/3 (* (pow (/ (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)) 1/3) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))) (* (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3) (- (* 2/3 (/ (* (sin (* 1/2 phi2)) (* lambda2 lambda1)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda1 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))))) (* (- (+ (* 4/9 (* (pow (/ 1 (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 8))) 1/3) (* (pow (sin (* 1/2 phi2)) 2) (* lambda1 (pow lambda2 3))))) (+ (* 1/6 (* (pow (/ (pow (cos (* 1/2 phi2)) 4) (pow (- lambda1 lambda2) 2)) 1/3) (* lambda2 lambda1))) (+ (* 4/9 (* (pow (/ 1 (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 8))) 1/3) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 3) lambda2)))) (+ (* 1/6 (* (pow (/ 1 (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) 1/3) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2)))) (+ (* 1/6 (* (pow (/ (pow (cos (* 1/2 phi2)) 4) (pow (- lambda1 lambda2) 2)) 1/3) (* lambda1 lambda2))) (* 1/6 (* (pow (/ 1 (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) 1/3) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2))))))))) (+ (* 2/3 (* (pow (/ 1 (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 8))) 1/3) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 2) (pow lambda2 2))))) (+ (* 1/6 (* (pow (/ (pow (cos (* 1/2 phi2)) 4) (pow (- lambda1 lambda2) 2)) 1/3) (pow lambda2 2))) (+ (* 1/9 (* (pow (/ 1 (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 8))) 1/3) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)))) (+ (* 1/6 (* (pow (/ 1 (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) 1/3) (* (pow (sin (* 1/2 phi2)) 2) (* lambda1 lambda2)))) (+ (* 1/6 (* (pow (/ (pow (cos (* 1/2 phi2)) 4) (pow (- lambda1 lambda2) 2)) 1/3) (pow lambda1 2))) (+ (* 1/9 (* (pow (/ 1 (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 8))) 1/3) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)))) (* 1/6 (* (pow (/ 1 (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) 1/3) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))))))))))) (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3)))) into (- (+ (* 1/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) lambda1)) (pow (- lambda1 lambda2) 4))) (+ (* 1/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) (+ (* 7/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (pow (- lambda1 lambda2) 2))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (* 20/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 3))) (pow (- lambda1 lambda2) 4))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 5))) (pow (- lambda1 lambda2) 4))) (* 1/6 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2))))))))))))) (+ (* 1/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 4)) (pow (- lambda1 lambda2) 2))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 6)) (pow (- lambda1 lambda2) 4))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4))) (pow (- lambda1 lambda2) 4))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 2))) (pow (- lambda1 lambda2) 4))) (+ (* 1/6 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (* 1/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 4)) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 6)) (pow (- lambda1 lambda2) 4))) (+ (* 1/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (pow (- lambda1 lambda2) 2))) (* 1/6 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))))))))))))))
* [misc]backup-simplify:  Simplify (+ 1 (- (+ (* 1/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) lambda1)) (pow (- lambda1 lambda2) 4))) (+ (* 1/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) (+ (* 7/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (pow (- lambda1 lambda2) 2))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (* 20/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 3))) (pow (- lambda1 lambda2) 4))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 5))) (pow (- lambda1 lambda2) 4))) (* 1/6 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2))))))))))))) (+ (* 1/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 4)) (pow (- lambda1 lambda2) 2))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 6)) (pow (- lambda1 lambda2) 4))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4))) (pow (- lambda1 lambda2) 4))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 2))) (pow (- lambda1 lambda2) 4))) (+ (* 1/6 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (* 1/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 4)) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 6)) (pow (- lambda1 lambda2) 4))) (+ (* 1/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (pow (- lambda1 lambda2) 2))) (* 1/6 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))))))))))))))) into (- (+ (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) lambda1)) (pow (- lambda1 lambda2) 4))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)) (pow (- lambda1 lambda2) 2))) (+ (* 20/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 3))) (pow (- lambda1 lambda2) 4))) (+ (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 5))) (pow (- lambda1 lambda2) 4))) (+ (* 1/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) (+ (* 7/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (* 1/6 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) 1))))))))))) (+ (* 1/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 4)) (pow (- lambda1 lambda2) 2))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 2))) (pow (- lambda1 lambda2) 4))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 6)) (pow (- lambda1 lambda2) 4))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2))) (+ (* 1/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 4)) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 6)) (pow (- lambda1 lambda2) 4))) (+ (* 1/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4))) (pow (- lambda1 lambda2) 4))) (* 1/6 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)))))))))))))))
* [misc]backup-simplify:  Simplify (/ (- (- (+ (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) lambda1)) (pow (- lambda1 lambda2) 4))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)) (pow (- lambda1 lambda2) 2))) (+ (* 20/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 3))) (pow (- lambda1 lambda2) 4))) (+ (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 5))) (pow (- lambda1 lambda2) 4))) (+ (* 1/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) (+ (* 7/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (* 1/6 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) 1))))))))))) (+ (* 1/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 4)) (pow (- lambda1 lambda2) 2))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 2))) (pow (- lambda1 lambda2) 4))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 6)) (pow (- lambda1 lambda2) 4))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2))) (+ (* 1/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 4)) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 6)) (pow (- lambda1 lambda2) 4))) (+ (* 1/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4))) (pow (- lambda1 lambda2) 4))) (* 1/6 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2))))))))))))))) (pow (* 1/2 (* (- (+ (* 4/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 (pow lambda1 3)))) (pow (- lambda1 lambda2) 2))) (+ (* 4/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (* 4/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 3) lambda1))) (pow (- lambda1 lambda2) 2))))) (+ (* 2 phi2) (+ (* 2 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) (pow lambda1 2)))) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 4))) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 4))) (pow (- lambda1 lambda2) 2))) (* 2/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))))) 2) (+)) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) into (* 1/2 (* (- (+ (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) lambda1)) (pow (- lambda1 lambda2) 4))) (+ (* 4/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 4/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 (* lambda1 phi2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 5) (pow lambda2 3)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 5/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 5)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 20/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 3))) (pow (- lambda1 lambda2) 4))) (+ (* 14/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) (pow lambda1 3)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 7) lambda2))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2))) (+ (* 13/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 5)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 4/3 (/ (* (sin (* 1/2 phi2)) (* (pow lambda1 3) (* (cos (* 1/2 phi2)) (* lambda2 phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 4/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/6 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (* 1/6 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (* 1/3 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ 1 (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 5) lambda2))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)) (pow (- lambda1 lambda2) 2))) (+ (* 2/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 7) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 4/3 (/ (* (sin (* 1/2 phi2)) (* lambda1 (* (cos (* 1/2 phi2)) (* (pow lambda2 3) phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 5))) (pow (- lambda1 lambda2) 4))) (+ (* 20/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 3)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 7/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (pow (- lambda1 lambda2) 2))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 7)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (pow (- lambda1 lambda2) 2))) (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))))))))))))))))))))))))))))) (+ (* 1/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 4)) (pow (- lambda1 lambda2) 2))) (+ (* 2 (/ (* (sin (* 1/2 phi2)) (* (pow lambda1 2) (* (cos (* 1/2 phi2)) (* (pow lambda2 2) phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 6))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (/ (pow phi2 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) (+ (* 1/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (* 2/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 4)) (pow (- lambda1 lambda2) 2))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 6))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 7/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 6) (pow lambda1 2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 5/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/6 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (* 2/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 2))) (pow (- lambda1 lambda2) 4))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 8))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 4) phi2))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 6)) (pow (- lambda1 lambda2) 4))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/6 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 6) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 8))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/3 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 6)) (pow (- lambda1 lambda2) 4))) (+ (* 23/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 29/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4))) (pow (- lambda1 lambda2) 4))) (+ (* 11/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 6)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 4)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 4) phi2))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2))))))))))))))))))))))))))))))))))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (- (+ (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) lambda1)) (pow (- lambda1 lambda2) 4))) (+ (* 4/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 4/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 (* lambda1 phi2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 5) (pow lambda2 3)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 5/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 5)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 20/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 3))) (pow (- lambda1 lambda2) 4))) (+ (* 14/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) (pow lambda1 3)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 7) lambda2))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2))) (+ (* 13/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 5)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 4/3 (/ (* (sin (* 1/2 phi2)) (* (pow lambda1 3) (* (cos (* 1/2 phi2)) (* lambda2 phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 4/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/6 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (* 1/6 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (* 1/3 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ 1 (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 5) lambda2))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)) (pow (- lambda1 lambda2) 2))) (+ (* 2/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 7) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 4/3 (/ (* (sin (* 1/2 phi2)) (* lambda1 (* (cos (* 1/2 phi2)) (* (pow lambda2 3) phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 5))) (pow (- lambda1 lambda2) 4))) (+ (* 20/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 3)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 7/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (pow (- lambda1 lambda2) 2))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 7)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (pow (- lambda1 lambda2) 2))) (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))))))))))))))))))))))))))))) (+ (* 1/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 4)) (pow (- lambda1 lambda2) 2))) (+ (* 2 (/ (* (sin (* 1/2 phi2)) (* (pow lambda1 2) (* (cos (* 1/2 phi2)) (* (pow lambda2 2) phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 6))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (/ (pow phi2 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) (+ (* 1/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (* 2/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 4)) (pow (- lambda1 lambda2) 2))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 6))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 7/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 6) (pow lambda1 2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 5/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/6 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (* 2/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 2))) (pow (- lambda1 lambda2) 4))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 8))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 4) phi2))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 6)) (pow (- lambda1 lambda2) 4))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/6 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 6) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 8))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/3 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 6)) (pow (- lambda1 lambda2) 4))) (+ (* 23/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 29/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4))) (pow (- lambda1 lambda2) 4))) (+ (* 11/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 6)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 4)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 4) phi2))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2))))))))))))))))))))))))))))))))))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) lambda1)) (pow (- lambda1 lambda2) 4))) (+ (* 4/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 4/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 (* lambda1 phi2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 5) (pow lambda2 3)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 5/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 5)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 20/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 3))) (pow (- lambda1 lambda2) 4))) (+ (* 14/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) (pow lambda1 3)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 7) lambda2))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2))) (+ (* 13/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 5)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 4/3 (/ (* (sin (* 1/2 phi2)) (* (pow lambda1 3) (* (cos (* 1/2 phi2)) (* lambda2 phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 4/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/6 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (* 1/6 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (* 1/3 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ 1 (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 5) lambda2))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)) (pow (- lambda1 lambda2) 2))) (+ (* 2/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 7) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 4/3 (/ (* (sin (* 1/2 phi2)) (* lambda1 (* (cos (* 1/2 phi2)) (* (pow lambda2 3) phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 5))) (pow (- lambda1 lambda2) 4))) (+ (* 20/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 3)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 7/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (pow (- lambda1 lambda2) 2))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 7)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (pow (- lambda1 lambda2) 2))) (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))))))))))))))))))))))))))))) (+ (* 1/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 4)) (pow (- lambda1 lambda2) 2))) (+ (* 2 (/ (* (sin (* 1/2 phi2)) (* (pow lambda1 2) (* (cos (* 1/2 phi2)) (* (pow lambda2 2) phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 6))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (/ (pow phi2 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) (+ (* 1/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (* 2/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 4)) (pow (- lambda1 lambda2) 2))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 6))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 7/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 6) (pow lambda1 2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 5/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/6 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (* 2/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 2))) (pow (- lambda1 lambda2) 4))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 8))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 4) phi2))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 6)) (pow (- lambda1 lambda2) 4))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/6 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 6) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 8))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/3 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 6)) (pow (- lambda1 lambda2) 4))) (+ (* 23/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 29/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4))) (pow (- lambda1 lambda2) 4))) (+ (* 11/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 6)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 4)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 4) phi2))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2))))))))))))))))))))))))))))))))))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) lambda1)) (pow (- lambda1 lambda2) 4))) (+ (* 4/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 4/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 (* lambda1 phi2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 5) (pow lambda2 3)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 5/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 5)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 20/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 3))) (pow (- lambda1 lambda2) 4))) (+ (* 14/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) (pow lambda1 3)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 7) lambda2))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2))) (+ (* 13/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 5)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 4/3 (/ (* (sin (* 1/2 phi2)) (* (pow lambda1 3) (* (cos (* 1/2 phi2)) (* lambda2 phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 4/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/6 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (* 1/6 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (* 1/3 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ 1 (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 5) lambda2))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)) (pow (- lambda1 lambda2) 2))) (+ (* 2/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 7) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 4/3 (/ (* (sin (* 1/2 phi2)) (* lambda1 (* (cos (* 1/2 phi2)) (* (pow lambda2 3) phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 5))) (pow (- lambda1 lambda2) 4))) (+ (* 20/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 3)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 7/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (pow (- lambda1 lambda2) 2))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 7)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (pow (- lambda1 lambda2) 2))) (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))))))))))))))))))))))))))))) (+ (* 1/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 4)) (pow (- lambda1 lambda2) 2))) (+ (* 2 (/ (* (sin (* 1/2 phi2)) (* (pow lambda1 2) (* (cos (* 1/2 phi2)) (* (pow lambda2 2) phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 6))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (/ (pow phi2 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) (+ (* 1/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (* 2/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 4)) (pow (- lambda1 lambda2) 2))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 6))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 7/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 6) (pow lambda1 2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 5/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/6 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (* 2/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 2))) (pow (- lambda1 lambda2) 4))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 8))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 4) phi2))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 6)) (pow (- lambda1 lambda2) 4))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/6 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 6) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 8))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/3 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 6)) (pow (- lambda1 lambda2) 4))) (+ (* 23/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 29/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4))) (pow (- lambda1 lambda2) 4))) (+ (* 11/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 6)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 4)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 4) phi2))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2))))))))))))))))))))))))))))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) lambda1)) (pow (- lambda1 lambda2) 4))) (+ (* 4/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 4/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 (* lambda1 phi2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 5) (pow lambda2 3)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 5/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 5)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 20/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 3))) (pow (- lambda1 lambda2) 4))) (+ (* 14/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) (pow lambda1 3)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 7) lambda2))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2))) (+ (* 13/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 5)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 4/3 (/ (* (sin (* 1/2 phi2)) (* (pow lambda1 3) (* (cos (* 1/2 phi2)) (* lambda2 phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 4/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/6 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (* 1/6 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (* 1/3 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ 1 (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 5) lambda2))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)) (pow (- lambda1 lambda2) 2))) (+ (* 2/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 7) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 4/3 (/ (* (sin (* 1/2 phi2)) (* lambda1 (* (cos (* 1/2 phi2)) (* (pow lambda2 3) phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 5))) (pow (- lambda1 lambda2) 4))) (+ (* 20/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 3)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 7/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (pow (- lambda1 lambda2) 2))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 7)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (pow (- lambda1 lambda2) 2))) (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))))))))))))))))))))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) lambda1)) (pow (- lambda1 lambda2) 4))) in phi2
* [misc]taylor:  Taking taylor expansion of 2/3 in phi2
* [misc]backup-simplify:  Simplify 2/3 into 2/3
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) lambda1)) (pow (- lambda1 lambda2) 4)) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (sin (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow lambda2 5) lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 5) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 4) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* 1/2 1/2) into 1/4
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* (pow lambda2 2) (pow lambda2 2)) into (pow lambda2 4)
* [misc]backup-simplify:  Simplify (* lambda2 (pow lambda2 4)) into (pow lambda2 5)
* [misc]backup-simplify:  Simplify (* (pow lambda2 5) lambda1) into (* (pow lambda2 5) lambda1)
* [misc]backup-simplify:  Simplify (* 1/4 (* (pow lambda2 5) lambda1)) into (* 1/4 (* (pow lambda2 5) lambda1))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
* [misc]backup-simplify:  Simplify (* (pow (- lambda1 lambda2) 2) (pow (- lambda1 lambda2) 2)) into (pow (- lambda1 lambda2) 4)
* [misc]backup-simplify:  Simplify (/ (* 1/4 (* (pow lambda2 5) lambda1)) (pow (- lambda1 lambda2) 4)) into (* 1/4 (/ (* (pow lambda2 5) lambda1) (pow (- lambda1 lambda2) 4)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 4/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 (* lambda1 phi2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 5) (pow lambda2 3)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 5/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 5)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 20/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 3))) (pow (- lambda1 lambda2) 4))) (+ (* 14/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) (pow lambda1 3)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 7) lambda2))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2))) (+ (* 13/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 5)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 4/3 (/ (* (sin (* 1/2 phi2)) (* (pow lambda1 3) (* (cos (* 1/2 phi2)) (* lambda2 phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 4/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/6 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (* 1/6 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (* 1/3 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ 1 (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 5) lambda2))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)) (pow (- lambda1 lambda2) 2))) (+ (* 2/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 7) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 4/3 (/ (* (sin (* 1/2 phi2)) (* lambda1 (* (cos (* 1/2 phi2)) (* (pow lambda2 3) phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 5))) (pow (- lambda1 lambda2) 4))) (+ (* 20/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 3)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 7/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (pow (- lambda1 lambda2) 2))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 7)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (pow (- lambda1 lambda2) 2))) (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2))))))))))))))))))))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 4/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) in phi2
* [misc]taylor:  Taking taylor expansion of 4/9 in phi2
* [misc]backup-simplify:  Simplify 4/9 into 4/9
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (sin (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow lambda2 3) lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 3) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1/2) into 1/4
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* lambda2 (pow lambda2 2)) into (pow lambda2 3)
* [misc]backup-simplify:  Simplify (* (pow lambda2 3) lambda1) into (* (pow lambda2 3) lambda1)
* [misc]backup-simplify:  Simplify (* 1/4 (* (pow lambda2 3) lambda1)) into (* 1/4 (* (pow lambda2 3) lambda1))
* [misc]backup-simplify:  Simplify (* 1 (* 1/4 (* (pow lambda2 3) lambda1))) into (* 1/4 (* (pow lambda2 3) lambda1))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (pow lambda1 2) (pow lambda2 2)) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (pow lambda1 2) (pow lambda2 2))) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 2 (* lambda2 lambda1)) into (* 2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (* lambda2 lambda1))) into (- (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (+ (pow lambda1 2) (pow lambda2 2)) (- (* 2 (* lambda2 lambda1)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (/ (* 1/4 (* (pow lambda2 3) lambda1)) (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) into (* 1/4 (/ (* (pow lambda2 3) lambda1) (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 (* lambda1 phi2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 5) (pow lambda2 3)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 5/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 5)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 20/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 3))) (pow (- lambda1 lambda2) 4))) (+ (* 14/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) (pow lambda1 3)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 7) lambda2))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2))) (+ (* 13/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 5)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 4/3 (/ (* (sin (* 1/2 phi2)) (* (pow lambda1 3) (* (cos (* 1/2 phi2)) (* lambda2 phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 4/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/6 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (* 1/6 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (* 1/3 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ 1 (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 5) lambda2))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)) (pow (- lambda1 lambda2) 2))) (+ (* 2/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 7) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 4/3 (/ (* (sin (* 1/2 phi2)) (* lambda1 (* (cos (* 1/2 phi2)) (* (pow lambda2 3) phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 5))) (pow (- lambda1 lambda2) 4))) (+ (* 20/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 3)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 7/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (pow (- lambda1 lambda2) 2))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 7)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (pow (- lambda1 lambda2) 2))) (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))))))))))))))))))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 4/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 (* lambda1 phi2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) in phi2
* [misc]taylor:  Taking taylor expansion of 4/3 in phi2
* [misc]backup-simplify:  Simplify 4/3 into 4/3
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 (* lambda1 phi2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 (* lambda1 phi2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sin (* 1/2 phi2)) (* lambda2 (* lambda1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 (* lambda1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* lambda1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (* lambda1 0) into 0
* [misc]backup-simplify:  Simplify (* lambda2 0) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda1 1) (* 0 0)) into lambda1
* [misc]backup-simplify:  Simplify (+ (* lambda2 lambda1) (* 0 0)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 0 (* lambda2 lambda1)) (* 1/2 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda1 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (+ (* 0 lambda1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1/2 (* lambda2 lambda1)) (* 0 0))) into (* 1/2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (+ (* 1 (* 1/2 (* lambda2 lambda1))) (+ (* 0 0) (* (- 1/8) 0))) into (* 1/2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (pow lambda1 2) (pow lambda2 2)) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (pow lambda1 2) (pow lambda2 2))) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 2 (* lambda2 lambda1)) into (* 2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (* lambda2 lambda1))) into (- (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (+ (pow lambda1 2) (pow lambda2 2)) (- (* 2 (* lambda2 lambda1)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (/ (* 1/2 (* lambda2 lambda1)) (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) into (* 1/2 (/ (* lambda2 lambda1) (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 5) (pow lambda2 3)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 5/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 5)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 20/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 3))) (pow (- lambda1 lambda2) 4))) (+ (* 14/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) (pow lambda1 3)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 7) lambda2))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2))) (+ (* 13/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 5)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 4/3 (/ (* (sin (* 1/2 phi2)) (* (pow lambda1 3) (* (cos (* 1/2 phi2)) (* lambda2 phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 4/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/6 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (* 1/6 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (* 1/3 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ 1 (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 5) lambda2))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)) (pow (- lambda1 lambda2) 2))) (+ (* 2/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 7) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 4/3 (/ (* (sin (* 1/2 phi2)) (* lambda1 (* (cos (* 1/2 phi2)) (* (pow lambda2 3) phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 5))) (pow (- lambda1 lambda2) 4))) (+ (* 20/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 3)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 7/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (pow (- lambda1 lambda2) 2))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 7)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (pow (- lambda1 lambda2) 2))) (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2))))))))))))))))))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 5) (pow lambda2 3)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/9 in phi2
* [misc]backup-simplify:  Simplify 1/9 into 1/9
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 5) (pow lambda2 3)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 5) (pow lambda2 3)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 5) (pow lambda2 3))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (sin (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow lambda1 5) (pow lambda2 3)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 5) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (pow lambda2 3) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 4) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]taylor:  Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1/2) into 1/4
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* (pow lambda1 2) (pow lambda1 2)) into (pow lambda1 4)
* [misc]backup-simplify:  Simplify (* lambda1 (pow lambda1 4)) into (pow lambda1 5)
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* lambda2 (pow lambda2 2)) into (pow lambda2 3)
* [misc]backup-simplify:  Simplify (* (pow lambda1 5) (pow lambda2 3)) into (* (pow lambda2 3) (pow lambda1 5))
* [misc]backup-simplify:  Simplify (* 1/4 (* (pow lambda2 3) (pow lambda1 5))) into (* 1/4 (* (pow lambda2 3) (pow lambda1 5)))
* [misc]backup-simplify:  Simplify (* 1 (* 1/4 (* (pow lambda2 3) (pow lambda1 5)))) into (* 1/4 (* (pow lambda2 3) (pow lambda1 5)))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
* [misc]backup-simplify:  Simplify (* (pow (- lambda1 lambda2) 2) (pow (- lambda1 lambda2) 2)) into (pow (- lambda1 lambda2) 4)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (pow lambda1 2) (pow lambda2 2)) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (pow lambda1 2) (pow lambda2 2))) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 2 (* lambda2 lambda1)) into (* 2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (* lambda2 lambda1))) into (- (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (+ (pow lambda1 2) (pow lambda2 2)) (- (* 2 (* lambda2 lambda1)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (* (pow (- lambda1 lambda2) 4) (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) into (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 4))
* [misc]backup-simplify:  Simplify (/ (* 1/4 (* (pow lambda2 3) (pow lambda1 5))) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 4))) into (* 1/4 (/ (* (pow lambda2 3) (pow lambda1 5)) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 4))))
* [misc]taylor:  Taking taylor expansion of (+ (* 5/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 5)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 20/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 3))) (pow (- lambda1 lambda2) 4))) (+ (* 14/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) (pow lambda1 3)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 7) lambda2))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2))) (+ (* 13/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 5)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 4/3 (/ (* (sin (* 1/2 phi2)) (* (pow lambda1 3) (* (cos (* 1/2 phi2)) (* lambda2 phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 4/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/6 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (* 1/6 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (* 1/3 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ 1 (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 5) lambda2))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)) (pow (- lambda1 lambda2) 2))) (+ (* 2/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 7) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 4/3 (/ (* (sin (* 1/2 phi2)) (* lambda1 (* (cos (* 1/2 phi2)) (* (pow lambda2 3) phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 5))) (pow (- lambda1 lambda2) 4))) (+ (* 20/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 3)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 7/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (pow (- lambda1 lambda2) 2))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 7)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (pow (- lambda1 lambda2) 2))) (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))))))))))))))))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 5/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 5)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of 5/9 in phi2
* [misc]backup-simplify:  Simplify 5/9 into 5/9
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 5)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 5)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 5))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (sin (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 (pow lambda1 5)) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 5) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1/2) into 1/4
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* (pow lambda1 2) (pow lambda1 2)) into (pow lambda1 4)
* [misc]backup-simplify:  Simplify (* lambda1 (pow lambda1 4)) into (pow lambda1 5)
* [misc]backup-simplify:  Simplify (* lambda2 (pow lambda1 5)) into (* lambda2 (pow lambda1 5))
* [misc]backup-simplify:  Simplify (* 1/4 (* lambda2 (pow lambda1 5))) into (* 1/4 (* lambda2 (pow lambda1 5)))
* [misc]backup-simplify:  Simplify (* 1 (* 1/4 (* lambda2 (pow lambda1 5)))) into (* 1/4 (* lambda2 (pow lambda1 5)))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (pow lambda1 2) (pow lambda2 2)) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (pow lambda1 2) (pow lambda2 2))) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 2 (* lambda2 lambda1)) into (* 2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (* lambda2 lambda1))) into (- (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (+ (pow lambda1 2) (pow lambda2 2)) (- (* 2 (* lambda2 lambda1)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
* [misc]backup-simplify:  Simplify (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2)) into (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2))
* [misc]backup-simplify:  Simplify (/ (* 1/4 (* lambda2 (pow lambda1 5))) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2))) into (* 1/4 (/ (* lambda2 (pow lambda1 5)) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2))))
* [misc]taylor:  Taking taylor expansion of (+ (* 20/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 3))) (pow (- lambda1 lambda2) 4))) (+ (* 14/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) (pow lambda1 3)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 7) lambda2))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2))) (+ (* 13/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 5)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 4/3 (/ (* (sin (* 1/2 phi2)) (* (pow lambda1 3) (* (cos (* 1/2 phi2)) (* lambda2 phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 4/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/6 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (* 1/6 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (* 1/3 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ 1 (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 5) lambda2))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)) (pow (- lambda1 lambda2) 2))) (+ (* 2/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 7) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 4/3 (/ (* (sin (* 1/2 phi2)) (* lambda1 (* (cos (* 1/2 phi2)) (* (pow lambda2 3) phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 5))) (pow (- lambda1 lambda2) 4))) (+ (* 20/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 3)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 7/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (pow (- lambda1 lambda2) 2))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 7)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (pow (- lambda1 lambda2) 2))) (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2))))))))))))))))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 20/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 3))) (pow (- lambda1 lambda2) 4))) in phi2
* [misc]taylor:  Taking taylor expansion of 20/9 in phi2
* [misc]backup-simplify:  Simplify 20/9 into 20/9
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 3))) (pow (- lambda1 lambda2) 4)) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 3))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (sin (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow lambda2 3) (pow lambda1 3)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 3) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 3) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 4) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* 1/2 1/2) into 1/4
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* lambda2 (pow lambda2 2)) into (pow lambda2 3)
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* lambda1 (pow lambda1 2)) into (pow lambda1 3)
* [misc]backup-simplify:  Simplify (* (pow lambda2 3) (pow lambda1 3)) into (* (pow lambda2 3) (pow lambda1 3))
* [misc]backup-simplify:  Simplify (* 1/4 (* (pow lambda2 3) (pow lambda1 3))) into (* 1/4 (* (pow lambda2 3) (pow lambda1 3)))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
* [misc]backup-simplify:  Simplify (* (pow (- lambda1 lambda2) 2) (pow (- lambda1 lambda2) 2)) into (pow (- lambda1 lambda2) 4)
* [misc]backup-simplify:  Simplify (/ (* 1/4 (* (pow lambda2 3) (pow lambda1 3))) (pow (- lambda1 lambda2) 4)) into (* 1/4 (/ (* (pow lambda2 3) (pow lambda1 3)) (pow (- lambda1 lambda2) 4)))
* [misc]taylor:  Taking taylor expansion of (+ (* 14/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) (pow lambda1 3)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 7) lambda2))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2))) (+ (* 13/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 5)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 4/3 (/ (* (sin (* 1/2 phi2)) (* (pow lambda1 3) (* (cos (* 1/2 phi2)) (* lambda2 phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 4/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/6 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (* 1/6 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (* 1/3 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ 1 (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 5) lambda2))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)) (pow (- lambda1 lambda2) 2))) (+ (* 2/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 7) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 4/3 (/ (* (sin (* 1/2 phi2)) (* lambda1 (* (cos (* 1/2 phi2)) (* (pow lambda2 3) phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 5))) (pow (- lambda1 lambda2) 4))) (+ (* 20/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 3)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 7/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (pow (- lambda1 lambda2) 2))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 7)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (pow (- lambda1 lambda2) 2))) (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))))))))))))))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 14/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) (pow lambda1 3)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) in phi2
* [misc]taylor:  Taking taylor expansion of 14/9 in phi2
* [misc]backup-simplify:  Simplify 14/9 into 14/9
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) (pow lambda1 3)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) (pow lambda1 3)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) (pow lambda1 3))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (sin (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow lambda2 5) (pow lambda1 3)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 5) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 3) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)) in phi2
* [misc]taylor:  Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 4) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1/2) into 1/4
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* (pow lambda2 2) (pow lambda2 2)) into (pow lambda2 4)
* [misc]backup-simplify:  Simplify (* lambda2 (pow lambda2 4)) into (pow lambda2 5)
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* lambda1 (pow lambda1 2)) into (pow lambda1 3)
* [misc]backup-simplify:  Simplify (* (pow lambda2 5) (pow lambda1 3)) into (* (pow lambda2 5) (pow lambda1 3))
* [misc]backup-simplify:  Simplify (* 1/4 (* (pow lambda2 5) (pow lambda1 3))) into (* 1/4 (* (pow lambda2 5) (pow lambda1 3)))
* [misc]backup-simplify:  Simplify (* 1 (* 1/4 (* (pow lambda2 5) (pow lambda1 3)))) into (* 1/4 (* (pow lambda2 5) (pow lambda1 3)))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (pow lambda1 2) (pow lambda2 2)) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (pow lambda1 2) (pow lambda2 2))) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 2 (* lambda2 lambda1)) into (* 2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (* lambda2 lambda1))) into (- (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (+ (pow lambda1 2) (pow lambda2 2)) (- (* 2 (* lambda2 lambda1)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
* [misc]backup-simplify:  Simplify (* (pow (- lambda1 lambda2) 2) (pow (- lambda1 lambda2) 2)) into (pow (- lambda1 lambda2) 4)
* [misc]backup-simplify:  Simplify (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 4)) into (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 4))
* [misc]backup-simplify:  Simplify (/ (* 1/4 (* (pow lambda2 5) (pow lambda1 3))) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 4))) into (* 1/4 (/ (* (pow lambda2 5) (pow lambda1 3)) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 4))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 7) lambda2))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2))) (+ (* 13/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 5)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 4/3 (/ (* (sin (* 1/2 phi2)) (* (pow lambda1 3) (* (cos (* 1/2 phi2)) (* lambda2 phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 4/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/6 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (* 1/6 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (* 1/3 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ 1 (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 5) lambda2))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)) (pow (- lambda1 lambda2) 2))) (+ (* 2/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 7) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 4/3 (/ (* (sin (* 1/2 phi2)) (* lambda1 (* (cos (* 1/2 phi2)) (* (pow lambda2 3) phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 5))) (pow (- lambda1 lambda2) 4))) (+ (* 20/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 3)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 7/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (pow (- lambda1 lambda2) 2))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 7)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (pow (- lambda1 lambda2) 2))) (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2))))))))))))))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 7) lambda2))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/9 in phi2
* [misc]backup-simplify:  Simplify 1/9 into 1/9
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 7) lambda2))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 7) lambda2))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 7) lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (sin (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow lambda1 7) lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 7) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 4) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]taylor:  Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1/2) into 1/4
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* lambda1 (pow lambda1 2)) into (pow lambda1 3)
* [misc]backup-simplify:  Simplify (* (pow lambda1 3) (pow lambda1 3)) into (pow lambda1 6)
* [misc]backup-simplify:  Simplify (* lambda1 (pow lambda1 6)) into (pow lambda1 7)
* [misc]backup-simplify:  Simplify (* (pow lambda1 7) lambda2) into (* lambda2 (pow lambda1 7))
* [misc]backup-simplify:  Simplify (* 1/4 (* lambda2 (pow lambda1 7))) into (* 1/4 (* lambda2 (pow lambda1 7)))
* [misc]backup-simplify:  Simplify (* 1 (* 1/4 (* lambda2 (pow lambda1 7)))) into (* 1/4 (* lambda2 (pow lambda1 7)))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
* [misc]backup-simplify:  Simplify (* (pow (- lambda1 lambda2) 2) (pow (- lambda1 lambda2) 2)) into (pow (- lambda1 lambda2) 4)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (pow lambda1 2) (pow lambda2 2)) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (pow lambda1 2) (pow lambda2 2))) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 2 (* lambda2 lambda1)) into (* 2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (* lambda2 lambda1))) into (- (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (+ (pow lambda1 2) (pow lambda2 2)) (- (* 2 (* lambda2 lambda1)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (* (pow (- lambda1 lambda2) 4) (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) into (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 4))
* [misc]backup-simplify:  Simplify (/ (* 1/4 (* lambda2 (pow lambda1 7))) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 4))) into (* 1/4 (/ (* lambda2 (pow lambda1 7)) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 4))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2))) (+ (* 13/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 5)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 4/3 (/ (* (sin (* 1/2 phi2)) (* (pow lambda1 3) (* (cos (* 1/2 phi2)) (* lambda2 phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 4/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/6 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (* 1/6 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (* 1/3 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ 1 (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 5) lambda2))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)) (pow (- lambda1 lambda2) 2))) (+ (* 2/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 7) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 4/3 (/ (* (sin (* 1/2 phi2)) (* lambda1 (* (cos (* 1/2 phi2)) (* (pow lambda2 3) phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 5))) (pow (- lambda1 lambda2) 4))) (+ (* 20/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 3)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 7/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (pow (- lambda1 lambda2) 2))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 7)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (pow (- lambda1 lambda2) 2))) (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))))))))))))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/3 in phi2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow lambda2 3) lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 3) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* lambda2 (pow lambda2 2)) into (pow lambda2 3)
* [misc]backup-simplify:  Simplify (* (pow lambda2 3) lambda1) into (* (pow lambda2 3) lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* (pow lambda2 3) lambda1)) into (* (pow lambda2 3) lambda1)
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
* [misc]backup-simplify:  Simplify (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2)) into (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 13/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 5)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 4/3 (/ (* (sin (* 1/2 phi2)) (* (pow lambda1 3) (* (cos (* 1/2 phi2)) (* lambda2 phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 4/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/6 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (* 1/6 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (* 1/3 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ 1 (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 5) lambda2))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)) (pow (- lambda1 lambda2) 2))) (+ (* 2/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 7) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 4/3 (/ (* (sin (* 1/2 phi2)) (* lambda1 (* (cos (* 1/2 phi2)) (* (pow lambda2 3) phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 5))) (pow (- lambda1 lambda2) 4))) (+ (* 20/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 3)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 7/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (pow (- lambda1 lambda2) 2))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 7)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (pow (- lambda1 lambda2) 2))) (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2))))))))))))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 13/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 5)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) in phi2
* [misc]taylor:  Taking taylor expansion of 13/9 in phi2
* [misc]backup-simplify:  Simplify 13/9 into 13/9
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 5)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 5)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 5))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (sin (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow lambda2 3) (pow lambda1 5)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 3) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 5) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)) in phi2
* [misc]taylor:  Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 4) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1/2) into 1/4
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* lambda2 (pow lambda2 2)) into (pow lambda2 3)
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* (pow lambda1 2) (pow lambda1 2)) into (pow lambda1 4)
* [misc]backup-simplify:  Simplify (* lambda1 (pow lambda1 4)) into (pow lambda1 5)
* [misc]backup-simplify:  Simplify (* (pow lambda2 3) (pow lambda1 5)) into (* (pow lambda2 3) (pow lambda1 5))
* [misc]backup-simplify:  Simplify (* 1/4 (* (pow lambda2 3) (pow lambda1 5))) into (* 1/4 (* (pow lambda2 3) (pow lambda1 5)))
* [misc]backup-simplify:  Simplify (* 1 (* 1/4 (* (pow lambda2 3) (pow lambda1 5)))) into (* 1/4 (* (pow lambda2 3) (pow lambda1 5)))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (pow lambda1 2) (pow lambda2 2)) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (pow lambda1 2) (pow lambda2 2))) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 2 (* lambda2 lambda1)) into (* 2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (* lambda2 lambda1))) into (- (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (+ (pow lambda1 2) (pow lambda2 2)) (- (* 2 (* lambda2 lambda1)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
* [misc]backup-simplify:  Simplify (* (pow (- lambda1 lambda2) 2) (pow (- lambda1 lambda2) 2)) into (pow (- lambda1 lambda2) 4)
* [misc]backup-simplify:  Simplify (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 4)) into (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 4))
* [misc]backup-simplify:  Simplify (/ (* 1/4 (* (pow lambda2 3) (pow lambda1 5))) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 4))) into (* 1/4 (/ (* (pow lambda2 3) (pow lambda1 5)) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 4))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4/3 (/ (* (sin (* 1/2 phi2)) (* (pow lambda1 3) (* (cos (* 1/2 phi2)) (* lambda2 phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 4/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/6 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (* 1/6 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (* 1/3 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ 1 (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 5) lambda2))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)) (pow (- lambda1 lambda2) 2))) (+ (* 2/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 7) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 4/3 (/ (* (sin (* 1/2 phi2)) (* lambda1 (* (cos (* 1/2 phi2)) (* (pow lambda2 3) phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 5))) (pow (- lambda1 lambda2) 4))) (+ (* 20/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 3)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 7/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (pow (- lambda1 lambda2) 2))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 7)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (pow (- lambda1 lambda2) 2))) (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))))))))))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 4/3 (/ (* (sin (* 1/2 phi2)) (* (pow lambda1 3) (* (cos (* 1/2 phi2)) (* lambda2 phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of 4/3 in phi2
* [misc]backup-simplify:  Simplify 4/3 into 4/3
* [misc]taylor:  Taking taylor expansion of (/ (* (sin (* 1/2 phi2)) (* (pow lambda1 3) (* (cos (* 1/2 phi2)) (* lambda2 phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (sin (* 1/2 phi2)) (* (pow lambda1 3) (* (cos (* 1/2 phi2)) (* lambda2 phi2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow lambda1 3) (* (cos (* 1/2 phi2)) (* lambda2 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 3) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (cos (* 1/2 phi2)) (* lambda2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* lambda1 (pow lambda1 2)) into (pow lambda1 3)
* [misc]backup-simplify:  Simplify (* lambda2 0) into 0
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (* (pow lambda1 3) 0) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 1) (* 0 0)) into lambda2
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 lambda2) (* 0 0)) into lambda2
* [misc]backup-simplify:  Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda1 0) (* 0 (pow lambda1 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow lambda1 3) lambda2) (* 0 0)) into (* lambda2 (pow lambda1 3))
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 0 (* lambda2 (pow lambda1 3))) (* 1/2 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 lambda2) (* (- 1/8) 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda1 0) (+ (* 0 0) (* 0 lambda1))) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda1 0) (+ (* 0 0) (* 0 (pow lambda1 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow lambda1 3) 0) (+ (* 0 lambda2) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1/2 (* lambda2 (pow lambda1 3))) (* 0 0))) into (* 1/2 (* lambda2 (pow lambda1 3)))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (pow lambda1 2) (pow lambda2 2)) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (pow lambda1 2) (pow lambda2 2))) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 2 (* lambda2 lambda1)) into (* 2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (* lambda2 lambda1))) into (- (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (+ (pow lambda1 2) (pow lambda2 2)) (- (* 2 (* lambda2 lambda1)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
* [misc]backup-simplify:  Simplify (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2)) into (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2))
* [misc]backup-simplify:  Simplify (/ (* 1/2 (* lambda2 (pow lambda1 3))) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2))) into (* 1/2 (/ (* lambda2 (pow lambda1 3)) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/6 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (* 1/6 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (* 1/3 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ 1 (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 5) lambda2))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)) (pow (- lambda1 lambda2) 2))) (+ (* 2/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 7) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 4/3 (/ (* (sin (* 1/2 phi2)) (* lambda1 (* (cos (* 1/2 phi2)) (* (pow lambda2 3) phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 5))) (pow (- lambda1 lambda2) 4))) (+ (* 20/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 3)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 7/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (pow (- lambda1 lambda2) 2))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 7)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (pow (- lambda1 lambda2) 2))) (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2))))))))))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 4/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) in phi2
* [misc]taylor:  Taking taylor expansion of 4/9 in phi2
* [misc]backup-simplify:  Simplify 4/9 into 4/9
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (sin (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 (pow lambda1 3)) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 3) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1/2) into 1/4
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* lambda1 (pow lambda1 2)) into (pow lambda1 3)
* [misc]backup-simplify:  Simplify (* lambda2 (pow lambda1 3)) into (* lambda2 (pow lambda1 3))
* [misc]backup-simplify:  Simplify (* 1/4 (* lambda2 (pow lambda1 3))) into (* 1/4 (* lambda2 (pow lambda1 3)))
* [misc]backup-simplify:  Simplify (* 1 (* 1/4 (* lambda2 (pow lambda1 3)))) into (* 1/4 (* lambda2 (pow lambda1 3)))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (pow lambda1 2) (pow lambda2 2)) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (pow lambda1 2) (pow lambda2 2))) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 2 (* lambda2 lambda1)) into (* 2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (* lambda2 lambda1))) into (- (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (+ (pow lambda1 2) (pow lambda2 2)) (- (* 2 (* lambda2 lambda1)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (/ (* 1/4 (* lambda2 (pow lambda1 3))) (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) into (* 1/4 (/ (* lambda2 (pow lambda1 3)) (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/6 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (* 1/6 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (* 1/3 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ 1 (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 5) lambda2))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)) (pow (- lambda1 lambda2) 2))) (+ (* 2/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 7) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 4/3 (/ (* (sin (* 1/2 phi2)) (* lambda1 (* (cos (* 1/2 phi2)) (* (pow lambda2 3) phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 5))) (pow (- lambda1 lambda2) 4))) (+ (* 20/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 3)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 7/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (pow (- lambda1 lambda2) 2))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 7)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (pow (- lambda1 lambda2) 2))) (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))))))))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/6 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/6 in phi2
* [misc]backup-simplify:  Simplify 1/6 into 1/6
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (sin (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (+ (* 1/6 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (* 1/3 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ 1 (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 5) lambda2))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)) (pow (- lambda1 lambda2) 2))) (+ (* 2/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 7) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 4/3 (/ (* (sin (* 1/2 phi2)) (* lambda1 (* (cos (* 1/2 phi2)) (* (pow lambda2 3) phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 5))) (pow (- lambda1 lambda2) 4))) (+ (* 20/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 3)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 7/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (pow (- lambda1 lambda2) 2))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 7)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (pow (- lambda1 lambda2) 2))) (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2))))))))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/6 (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/6 in phi2
* [misc]backup-simplify:  Simplify 1/6 into 1/6
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (sin (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (+ (* 1/3 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ 1 (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 5) lambda2))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)) (pow (- lambda1 lambda2) 2))) (+ (* 2/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 7) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 4/3 (/ (* (sin (* 1/2 phi2)) (* lambda1 (* (cos (* 1/2 phi2)) (* (pow lambda2 3) phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 5))) (pow (- lambda1 lambda2) 4))) (+ (* 20/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 3)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 7/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (pow (- lambda1 lambda2) 2))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 7)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (pow (- lambda1 lambda2) 2))) (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))))))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/3 in phi2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (+ 1 (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 5) lambda2))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)) (pow (- lambda1 lambda2) 2))) (+ (* 2/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 7) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 4/3 (/ (* (sin (* 1/2 phi2)) (* lambda1 (* (cos (* 1/2 phi2)) (* (pow lambda2 3) phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 5))) (pow (- lambda1 lambda2) 4))) (+ (* 20/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 3)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 7/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (pow (- lambda1 lambda2) 2))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 7)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (pow (- lambda1 lambda2) 2))) (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2))))))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of 1 in phi2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 5) lambda2))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)) (pow (- lambda1 lambda2) 2))) (+ (* 2/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 7) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 4/3 (/ (* (sin (* 1/2 phi2)) (* lambda1 (* (cos (* 1/2 phi2)) (* (pow lambda2 3) phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 5))) (pow (- lambda1 lambda2) 4))) (+ (* 20/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 3)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 7/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (pow (- lambda1 lambda2) 2))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 7)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (pow (- lambda1 lambda2) 2))) (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 5) lambda2))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/9 in phi2
* [misc]backup-simplify:  Simplify 1/9 into 1/9
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 5) lambda2))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 5) lambda2))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 5) lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (sin (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow lambda1 5) lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 5) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]taylor:  Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1/2) into 1/4
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* (pow lambda1 2) (pow lambda1 2)) into (pow lambda1 4)
* [misc]backup-simplify:  Simplify (* lambda1 (pow lambda1 4)) into (pow lambda1 5)
* [misc]backup-simplify:  Simplify (* (pow lambda1 5) lambda2) into (* lambda2 (pow lambda1 5))
* [misc]backup-simplify:  Simplify (* 1/4 (* lambda2 (pow lambda1 5))) into (* 1/4 (* lambda2 (pow lambda1 5)))
* [misc]backup-simplify:  Simplify (* 1 (* 1/4 (* lambda2 (pow lambda1 5)))) into (* 1/4 (* lambda2 (pow lambda1 5)))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (pow lambda1 2) (pow lambda2 2)) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (pow lambda1 2) (pow lambda2 2))) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 2 (* lambda2 lambda1)) into (* 2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (* lambda2 lambda1))) into (- (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (+ (pow lambda1 2) (pow lambda2 2)) (- (* 2 (* lambda2 lambda1)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (* (pow (- lambda1 lambda2) 2) (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) into (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2))
* [misc]backup-simplify:  Simplify (/ (* 1/4 (* lambda2 (pow lambda1 5))) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2))) into (* 1/4 (/ (* lambda2 (pow lambda1 5)) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)) (pow (- lambda1 lambda2) 2))) (+ (* 2/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 7) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 4/3 (/ (* (sin (* 1/2 phi2)) (* lambda1 (* (cos (* 1/2 phi2)) (* (pow lambda2 3) phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 5))) (pow (- lambda1 lambda2) 4))) (+ (* 20/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 3)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 7/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (pow (- lambda1 lambda2) 2))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 7)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (pow (- lambda1 lambda2) 2))) (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2))))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/3 in phi2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 (pow lambda1 3)) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 3) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* lambda1 (pow lambda1 2)) into (pow lambda1 3)
* [misc]backup-simplify:  Simplify (* lambda2 (pow lambda1 3)) into (* lambda2 (pow lambda1 3))
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 (pow lambda1 3))) into (* lambda2 (pow lambda1 3))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
* [misc]backup-simplify:  Simplify (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2)) into (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)) (pow (- lambda1 lambda2) 2))) (+ (* 2/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 7) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 4/3 (/ (* (sin (* 1/2 phi2)) (* lambda1 (* (cos (* 1/2 phi2)) (* (pow lambda2 3) phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 5))) (pow (- lambda1 lambda2) 4))) (+ (* 20/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 3)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 7/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (pow (- lambda1 lambda2) 2))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 7)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (pow (- lambda1 lambda2) 2))) (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)) (pow (- lambda1 lambda2) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of 7/36 in phi2
* [misc]backup-simplify:  Simplify 7/36 into 7/36
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)) (pow (- lambda1 lambda2) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (sin (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 4) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* 1/2 1/2) into 1/4
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* (pow lambda1 2) (pow lambda1 2)) into (pow lambda1 4)
* [misc]backup-simplify:  Simplify (* 1/4 (pow lambda1 4)) into (* 1/4 (pow lambda1 4))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
* [misc]backup-simplify:  Simplify (/ (* 1/4 (pow lambda1 4)) (pow (- lambda1 lambda2) 2)) into (* 1/4 (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 7) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 4/3 (/ (* (sin (* 1/2 phi2)) (* lambda1 (* (cos (* 1/2 phi2)) (* (pow lambda2 3) phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 5))) (pow (- lambda1 lambda2) 4))) (+ (* 20/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 3)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 7/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (pow (- lambda1 lambda2) 2))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 7)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (pow (- lambda1 lambda2) 2))) (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 2/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 7) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) in phi2
* [misc]taylor:  Taking taylor expansion of 2/9 in phi2
* [misc]backup-simplify:  Simplify 2/9 into 2/9
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 7) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 7) lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 7) lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (sin (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow lambda2 7) lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 7) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)) in phi2
* [misc]taylor:  Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 4) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1/2) into 1/4
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* lambda2 (pow lambda2 2)) into (pow lambda2 3)
* [misc]backup-simplify:  Simplify (* (pow lambda2 3) (pow lambda2 3)) into (pow lambda2 6)
* [misc]backup-simplify:  Simplify (* lambda2 (pow lambda2 6)) into (pow lambda2 7)
* [misc]backup-simplify:  Simplify (* (pow lambda2 7) lambda1) into (* (pow lambda2 7) lambda1)
* [misc]backup-simplify:  Simplify (* 1/4 (* (pow lambda2 7) lambda1)) into (* 1/4 (* (pow lambda2 7) lambda1))
* [misc]backup-simplify:  Simplify (* 1 (* 1/4 (* (pow lambda2 7) lambda1))) into (* 1/4 (* (pow lambda2 7) lambda1))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (pow lambda1 2) (pow lambda2 2)) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (pow lambda1 2) (pow lambda2 2))) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 2 (* lambda2 lambda1)) into (* 2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (* lambda2 lambda1))) into (- (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (+ (pow lambda1 2) (pow lambda2 2)) (- (* 2 (* lambda2 lambda1)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
* [misc]backup-simplify:  Simplify (* (pow (- lambda1 lambda2) 2) (pow (- lambda1 lambda2) 2)) into (pow (- lambda1 lambda2) 4)
* [misc]backup-simplify:  Simplify (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 4)) into (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 4))
* [misc]backup-simplify:  Simplify (/ (* 1/4 (* (pow lambda2 7) lambda1)) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 4))) into (* 1/4 (/ (* (pow lambda2 7) lambda1) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 4))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4/3 (/ (* (sin (* 1/2 phi2)) (* lambda1 (* (cos (* 1/2 phi2)) (* (pow lambda2 3) phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 5))) (pow (- lambda1 lambda2) 4))) (+ (* 20/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 3)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 7/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (pow (- lambda1 lambda2) 2))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 7)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (pow (- lambda1 lambda2) 2))) (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 4/3 (/ (* (sin (* 1/2 phi2)) (* lambda1 (* (cos (* 1/2 phi2)) (* (pow lambda2 3) phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of 4/3 in phi2
* [misc]backup-simplify:  Simplify 4/3 into 4/3
* [misc]taylor:  Taking taylor expansion of (/ (* (sin (* 1/2 phi2)) (* lambda1 (* (cos (* 1/2 phi2)) (* (pow lambda2 3) phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (sin (* 1/2 phi2)) (* lambda1 (* (cos (* 1/2 phi2)) (* (pow lambda2 3) phi2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda1 (* (cos (* 1/2 phi2)) (* (pow lambda2 3) phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (cos (* 1/2 phi2)) (* (pow lambda2 3) phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow lambda2 3) phi2) in phi2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 3) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* lambda2 (pow lambda2 2)) into (pow lambda2 3)
* [misc]backup-simplify:  Simplify (* (pow lambda2 3) 0) into 0
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (* lambda1 0) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 (pow lambda2 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow lambda2 3) 1) (* 0 0)) into (pow lambda2 3)
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (pow lambda2 3)) (* 0 0)) into (pow lambda2 3)
* [misc]backup-simplify:  Simplify (+ (* lambda1 (pow lambda2 3)) (* 0 0)) into (* (pow lambda2 3) lambda1)
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 0 (* (pow lambda2 3) lambda1)) (* 1/2 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (+ (* 0 0) (* 0 lambda2))) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (+ (* 0 0) (* 0 (pow lambda2 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow lambda2 3) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 (pow lambda2 3)) (* (- 1/8) 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda1 0) (+ (* 0 (pow lambda2 3)) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1/2 (* (pow lambda2 3) lambda1)) (* 0 0))) into (* 1/2 (* (pow lambda2 3) lambda1))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (pow lambda1 2) (pow lambda2 2)) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (pow lambda1 2) (pow lambda2 2))) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 2 (* lambda2 lambda1)) into (* 2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (* lambda2 lambda1))) into (- (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (+ (pow lambda1 2) (pow lambda2 2)) (- (* 2 (* lambda2 lambda1)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
* [misc]backup-simplify:  Simplify (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2)) into (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2))
* [misc]backup-simplify:  Simplify (/ (* 1/2 (* (pow lambda2 3) lambda1)) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2))) into (* 1/2 (/ (* (pow lambda2 3) lambda1) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 5))) (pow (- lambda1 lambda2) 4))) (+ (* 20/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 3)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 7/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (pow (- lambda1 lambda2) 2))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 7)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (pow (- lambda1 lambda2) 2))) (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 2/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 5))) (pow (- lambda1 lambda2) 4))) in phi2
* [misc]taylor:  Taking taylor expansion of 2/3 in phi2
* [misc]backup-simplify:  Simplify 2/3 into 2/3
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 5))) (pow (- lambda1 lambda2) 4)) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 5))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (sin (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 (pow lambda1 5)) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 5) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 4) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* 1/2 1/2) into 1/4
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* (pow lambda1 2) (pow lambda1 2)) into (pow lambda1 4)
* [misc]backup-simplify:  Simplify (* lambda1 (pow lambda1 4)) into (pow lambda1 5)
* [misc]backup-simplify:  Simplify (* lambda2 (pow lambda1 5)) into (* lambda2 (pow lambda1 5))
* [misc]backup-simplify:  Simplify (* 1/4 (* lambda2 (pow lambda1 5))) into (* 1/4 (* lambda2 (pow lambda1 5)))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
* [misc]backup-simplify:  Simplify (* (pow (- lambda1 lambda2) 2) (pow (- lambda1 lambda2) 2)) into (pow (- lambda1 lambda2) 4)
* [misc]backup-simplify:  Simplify (/ (* 1/4 (* lambda2 (pow lambda1 5))) (pow (- lambda1 lambda2) 4)) into (* 1/4 (/ (* lambda2 (pow lambda1 5)) (pow (- lambda1 lambda2) 4)))
* [misc]taylor:  Taking taylor expansion of (+ (* 20/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 3)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 7/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (pow (- lambda1 lambda2) 2))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 7)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (pow (- lambda1 lambda2) 2))) (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 20/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 3)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of 20/9 in phi2
* [misc]backup-simplify:  Simplify 20/9 into 20/9
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 3)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 3)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) (pow lambda1 3))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (sin (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow lambda2 3) (pow lambda1 3)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 3) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 3) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1/2) into 1/4
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* lambda2 (pow lambda2 2)) into (pow lambda2 3)
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* lambda1 (pow lambda1 2)) into (pow lambda1 3)
* [misc]backup-simplify:  Simplify (* (pow lambda2 3) (pow lambda1 3)) into (* (pow lambda2 3) (pow lambda1 3))
* [misc]backup-simplify:  Simplify (* 1/4 (* (pow lambda2 3) (pow lambda1 3))) into (* 1/4 (* (pow lambda2 3) (pow lambda1 3)))
* [misc]backup-simplify:  Simplify (* 1 (* 1/4 (* (pow lambda2 3) (pow lambda1 3)))) into (* 1/4 (* (pow lambda2 3) (pow lambda1 3)))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (pow lambda1 2) (pow lambda2 2)) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (pow lambda1 2) (pow lambda2 2))) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 2 (* lambda2 lambda1)) into (* 2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (* lambda2 lambda1))) into (- (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (+ (pow lambda1 2) (pow lambda2 2)) (- (* 2 (* lambda2 lambda1)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
* [misc]backup-simplify:  Simplify (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2)) into (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2))
* [misc]backup-simplify:  Simplify (/ (* 1/4 (* (pow lambda2 3) (pow lambda1 3))) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2))) into (* 1/4 (/ (* (pow lambda2 3) (pow lambda1 3)) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2))))
* [misc]taylor:  Taking taylor expansion of (+ (* 7/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (pow (- lambda1 lambda2) 2))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 7)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (pow (- lambda1 lambda2) 2))) (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 7/6 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (pow (- lambda1 lambda2) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of 7/6 in phi2
* [misc]backup-simplify:  Simplify 7/6 into 7/6
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (pow (- lambda1 lambda2) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (sin (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow lambda2 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* 1/2 1/2) into 1/4
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* (pow lambda2 2) (pow lambda1 2)) into (* (pow lambda2 2) (pow lambda1 2))
* [misc]backup-simplify:  Simplify (* 1/4 (* (pow lambda2 2) (pow lambda1 2))) into (* 1/4 (* (pow lambda2 2) (pow lambda1 2)))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
* [misc]backup-simplify:  Simplify (/ (* 1/4 (* (pow lambda2 2) (pow lambda1 2))) (pow (- lambda1 lambda2) 2)) into (* 1/4 (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 7)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (pow (- lambda1 lambda2) 2))) (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 7)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/9 in phi2
* [misc]backup-simplify:  Simplify 1/9 into 1/9
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 7)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 7)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 7))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (sin (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 (pow lambda1 7)) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 7) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)) in phi2
* [misc]taylor:  Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 4) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1/2) into 1/4
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* lambda1 (pow lambda1 2)) into (pow lambda1 3)
* [misc]backup-simplify:  Simplify (* (pow lambda1 3) (pow lambda1 3)) into (pow lambda1 6)
* [misc]backup-simplify:  Simplify (* lambda1 (pow lambda1 6)) into (pow lambda1 7)
* [misc]backup-simplify:  Simplify (* lambda2 (pow lambda1 7)) into (* lambda2 (pow lambda1 7))
* [misc]backup-simplify:  Simplify (* 1/4 (* lambda2 (pow lambda1 7))) into (* 1/4 (* lambda2 (pow lambda1 7)))
* [misc]backup-simplify:  Simplify (* 1 (* 1/4 (* lambda2 (pow lambda1 7)))) into (* 1/4 (* lambda2 (pow lambda1 7)))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (pow lambda1 2) (pow lambda2 2)) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (pow lambda1 2) (pow lambda2 2))) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 2 (* lambda2 lambda1)) into (* 2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (* lambda2 lambda1))) into (- (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (+ (pow lambda1 2) (pow lambda2 2)) (- (* 2 (* lambda2 lambda1)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
* [misc]backup-simplify:  Simplify (* (pow (- lambda1 lambda2) 2) (pow (- lambda1 lambda2) 2)) into (pow (- lambda1 lambda2) 4)
* [misc]backup-simplify:  Simplify (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 4)) into (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 4))
* [misc]backup-simplify:  Simplify (/ (* 1/4 (* lambda2 (pow lambda1 7))) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 4))) into (* 1/4 (/ (* lambda2 (pow lambda1 7)) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 4))))
* [misc]taylor:  Taking taylor expansion of (+ (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (pow (- lambda1 lambda2) 2))) (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 7/36 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (pow (- lambda1 lambda2) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of 7/36 in phi2
* [misc]backup-simplify:  Simplify 7/36 into 7/36
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) (pow (- lambda1 lambda2) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (sin (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 4) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* 1/2 1/2) into 1/4
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* (pow lambda2 2) (pow lambda2 2)) into (pow lambda2 4)
* [misc]backup-simplify:  Simplify (* 1/4 (pow lambda2 4)) into (* 1/4 (pow lambda2 4))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
* [misc]backup-simplify:  Simplify (/ (* 1/4 (pow lambda2 4)) (pow (- lambda1 lambda2) 2)) into (* 1/4 (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2)))
* [misc]taylor:  Taking taylor expansion of (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of 2/3 in phi2
* [misc]backup-simplify:  Simplify 2/3 into 2/3
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) lambda1))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 5) lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (sin (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow lambda2 5) lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 5) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1/2) into 1/4
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* (pow lambda2 2) (pow lambda2 2)) into (pow lambda2 4)
* [misc]backup-simplify:  Simplify (* lambda2 (pow lambda2 4)) into (pow lambda2 5)
* [misc]backup-simplify:  Simplify (* (pow lambda2 5) lambda1) into (* (pow lambda2 5) lambda1)
* [misc]backup-simplify:  Simplify (* 1/4 (* (pow lambda2 5) lambda1)) into (* 1/4 (* (pow lambda2 5) lambda1))
* [misc]backup-simplify:  Simplify (* 1 (* 1/4 (* (pow lambda2 5) lambda1))) into (* 1/4 (* (pow lambda2 5) lambda1))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (pow lambda1 2) (pow lambda2 2)) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (pow lambda1 2) (pow lambda2 2))) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 2 (* lambda2 lambda1)) into (* 2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (* lambda2 lambda1))) into (- (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (+ (pow lambda1 2) (pow lambda2 2)) (- (* 2 (* lambda2 lambda1)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
* [misc]backup-simplify:  Simplify (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2)) into (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2))
* [misc]backup-simplify:  Simplify (/ (* 1/4 (* (pow lambda2 5) lambda1)) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2))) into (* 1/4 (/ (* (pow lambda2 5) lambda1) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 4)) (pow (- lambda1 lambda2) 2))) (+ (* 2 (/ (* (sin (* 1/2 phi2)) (* (pow lambda1 2) (* (cos (* 1/2 phi2)) (* (pow lambda2 2) phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 6))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (/ (pow phi2 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) (+ (* 1/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (* 2/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 4)) (pow (- lambda1 lambda2) 2))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 6))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 7/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 6) (pow lambda1 2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 5/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/6 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (* 2/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 2))) (pow (- lambda1 lambda2) 4))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 8))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 4) phi2))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 6)) (pow (- lambda1 lambda2) 4))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/6 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 6) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 8))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/3 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 6)) (pow (- lambda1 lambda2) 4))) (+ (* 23/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 29/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4))) (pow (- lambda1 lambda2) 4))) (+ (* 11/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 6)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 4)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 4) phi2))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))))))))))))))))))))))))))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 4)) (pow (- lambda1 lambda2) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/12 in phi2
* [misc]backup-simplify:  Simplify 1/12 into 1/12
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 4)) (pow (- lambda1 lambda2) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 4)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 4) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* (pow lambda2 2) (pow lambda2 2)) into (pow lambda2 4)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 4)) into (pow lambda2 4)
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
* [misc]backup-simplify:  Simplify (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2)) into (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (sin (* 1/2 phi2)) (* (pow lambda1 2) (* (cos (* 1/2 phi2)) (* (pow lambda2 2) phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 6))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (/ (pow phi2 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) (+ (* 1/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (* 2/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 4)) (pow (- lambda1 lambda2) 2))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 6))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 7/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 6) (pow lambda1 2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 5/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/6 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (* 2/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 2))) (pow (- lambda1 lambda2) 4))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 8))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 4) phi2))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 6)) (pow (- lambda1 lambda2) 4))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/6 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 6) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 8))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/3 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 6)) (pow (- lambda1 lambda2) 4))) (+ (* 23/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 29/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4))) (pow (- lambda1 lambda2) 4))) (+ (* 11/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 6)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 4)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 4) phi2))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2))))))))))))))))))))))))))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (sin (* 1/2 phi2)) (* (pow lambda1 2) (* (cos (* 1/2 phi2)) (* (pow lambda2 2) phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (sin (* 1/2 phi2)) (* (pow lambda1 2) (* (cos (* 1/2 phi2)) (* (pow lambda2 2) phi2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (sin (* 1/2 phi2)) (* (pow lambda1 2) (* (cos (* 1/2 phi2)) (* (pow lambda2 2) phi2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow lambda1 2) (* (cos (* 1/2 phi2)) (* (pow lambda2 2) phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (cos (* 1/2 phi2)) (* (pow lambda2 2) phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow lambda2 2) phi2) in phi2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* (pow lambda2 2) 0) into 0
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (* (pow lambda1 2) 0) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow lambda2 2) 1) (* 0 0)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (pow lambda2 2)) (* 0 0)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow lambda1 2) (pow lambda2 2)) (* 0 0)) into (* (pow lambda2 2) (pow lambda1 2))
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 0 (* (pow lambda2 2) (pow lambda1 2))) (* 1/2 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (+ (* 0 0) (* 0 lambda2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow lambda2 2) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 (pow lambda2 2)) (* (- 1/8) 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda1 0) (+ (* 0 0) (* 0 lambda1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow lambda1 2) 0) (+ (* 0 (pow lambda2 2)) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1/2 (* (pow lambda2 2) (pow lambda1 2))) (* 0 0))) into (* 1/2 (* (pow lambda2 2) (pow lambda1 2)))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (pow lambda1 2) (pow lambda2 2)) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (pow lambda1 2) (pow lambda2 2))) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 2 (* lambda2 lambda1)) into (* 2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (* lambda2 lambda1))) into (- (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (+ (pow lambda1 2) (pow lambda2 2)) (- (* 2 (* lambda2 lambda1)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
* [misc]backup-simplify:  Simplify (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2)) into (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2))
* [misc]backup-simplify:  Simplify (/ (* 1/2 (* (pow lambda2 2) (pow lambda1 2))) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2))) into (* 1/2 (/ (* (pow lambda2 2) (pow lambda1 2)) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 6))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (/ (pow phi2 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) (+ (* 1/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (* 2/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 4)) (pow (- lambda1 lambda2) 2))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 6))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 7/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 6) (pow lambda1 2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 5/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/6 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (* 2/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 2))) (pow (- lambda1 lambda2) 4))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 8))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 4) phi2))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 6)) (pow (- lambda1 lambda2) 4))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/6 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 6) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 8))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/3 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 6)) (pow (- lambda1 lambda2) 4))) (+ (* 23/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 29/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4))) (pow (- lambda1 lambda2) 4))) (+ (* 11/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 6)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 4)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 4) phi2))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))))))))))))))))))))))))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 6))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/9 in phi2
* [misc]backup-simplify:  Simplify 1/9 into 1/9
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 6))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 6))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 6)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (sin (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 6) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]taylor:  Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1/2) into 1/4
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* lambda1 (pow lambda1 2)) into (pow lambda1 3)
* [misc]backup-simplify:  Simplify (* (pow lambda1 3) (pow lambda1 3)) into (pow lambda1 6)
* [misc]backup-simplify:  Simplify (* 1/4 (pow lambda1 6)) into (* 1/4 (pow lambda1 6))
* [misc]backup-simplify:  Simplify (* 1 (* 1/4 (pow lambda1 6))) into (* 1/4 (pow lambda1 6))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (pow lambda1 2) (pow lambda2 2)) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (pow lambda1 2) (pow lambda2 2))) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 2 (* lambda2 lambda1)) into (* 2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (* lambda2 lambda1))) into (- (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (+ (pow lambda1 2) (pow lambda2 2)) (- (* 2 (* lambda2 lambda1)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (* (pow (- lambda1 lambda2) 2) (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) into (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2))
* [misc]backup-simplify:  Simplify (/ (* 1/4 (pow lambda1 6)) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2))) into (* 1/4 (/ (pow lambda1 6) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (pow phi2 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) (+ (* 1/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (* 2/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 4)) (pow (- lambda1 lambda2) 2))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 6))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 7/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 6) (pow lambda1 2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 5/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/6 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (* 2/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 2))) (pow (- lambda1 lambda2) 4))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 8))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 4) phi2))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 6)) (pow (- lambda1 lambda2) 4))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/6 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 6) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 8))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/3 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 6)) (pow (- lambda1 lambda2) 4))) (+ (* 23/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 29/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4))) (pow (- lambda1 lambda2) 4))) (+ (* 11/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 6)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 4)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 4) phi2))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2))))))))))))))))))))))))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (pow phi2 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (pow lambda1 2) (pow lambda2 2)) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (pow lambda1 2) (pow lambda2 2))) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 2 (* lambda2 lambda1)) into (* 2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (* lambda2 lambda1))) into (- (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (+ (pow lambda1 2) (pow lambda2 2)) (- (* 2 (* lambda2 lambda1)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) into (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (* 2/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 4)) (pow (- lambda1 lambda2) 2))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 6))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 7/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 6) (pow lambda1 2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 5/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/6 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (* 2/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 2))) (pow (- lambda1 lambda2) 4))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 8))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 4) phi2))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 6)) (pow (- lambda1 lambda2) 4))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/6 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 6) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 8))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/3 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 6)) (pow (- lambda1 lambda2) 4))) (+ (* 23/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 29/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4))) (pow (- lambda1 lambda2) 4))) (+ (* 11/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 6)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 4)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 4) phi2))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))))))))))))))))))))))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (pow (- lambda1 lambda2) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) (pow (- lambda1 lambda2) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow lambda2 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* (pow lambda2 2) (pow lambda1 2)) into (* (pow lambda2 2) (pow lambda1 2))
* [misc]backup-simplify:  Simplify (* 1 (* (pow lambda2 2) (pow lambda1 2))) into (* (pow lambda2 2) (pow lambda1 2))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
* [misc]backup-simplify:  Simplify (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2)) into (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/6 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) (+ (* 2/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 4)) (pow (- lambda1 lambda2) 2))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 6))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 7/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 6) (pow lambda1 2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 5/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/6 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (* 2/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 2))) (pow (- lambda1 lambda2) 4))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 8))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 4) phi2))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 6)) (pow (- lambda1 lambda2) 4))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/6 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 6) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 8))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/3 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 6)) (pow (- lambda1 lambda2) 4))) (+ (* 23/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 29/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4))) (pow (- lambda1 lambda2) 4))) (+ (* 11/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 6)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 4)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 4) phi2))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2))))))))))))))))))))))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/6 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/6 in phi2
* [misc]backup-simplify:  Simplify 1/6 into 1/6
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (+ (* 2/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 4)) (pow (- lambda1 lambda2) 2))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 6))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 7/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 6) (pow lambda1 2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 5/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/6 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (* 2/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 2))) (pow (- lambda1 lambda2) 4))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 8))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 4) phi2))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 6)) (pow (- lambda1 lambda2) 4))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/6 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 6) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 8))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/3 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 6)) (pow (- lambda1 lambda2) 4))) (+ (* 23/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 29/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4))) (pow (- lambda1 lambda2) 4))) (+ (* 11/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 6)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 4)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 4) phi2))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))))))))))))))))))))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 2/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) in phi2
* [misc]taylor:  Taking taylor expansion of 2/3 in phi2
* [misc]backup-simplify:  Simplify 2/3 into 2/3
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 2) phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sin (* 1/2 phi2)) (* (pow lambda1 2) phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow lambda1 2) phi2) in phi2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* (pow lambda1 2) 0) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow lambda1 2) 1) (* 0 0)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 0 (pow lambda1 2)) (* 1/2 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda1 0) (+ (* 0 0) (* 0 lambda1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow lambda1 2) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1/2 (pow lambda1 2)) (* 0 0))) into (* 1/2 (pow lambda1 2))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (+ (* 1 (* 1/2 (pow lambda1 2))) (+ (* 0 0) (* (- 1/8) 0))) into (* 1/2 (pow lambda1 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (pow lambda1 2) (pow lambda2 2)) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (pow lambda1 2) (pow lambda2 2))) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 2 (* lambda2 lambda1)) into (* 2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (* lambda2 lambda1))) into (- (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (+ (pow lambda1 2) (pow lambda2 2)) (- (* 2 (* lambda2 lambda1)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (/ (* 1/2 (pow lambda1 2)) (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) into (* 1/2 (/ (pow lambda1 2) (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 4)) (pow (- lambda1 lambda2) 2))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 6))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 7/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 6) (pow lambda1 2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 5/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/6 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (* 2/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 2))) (pow (- lambda1 lambda2) 4))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 8))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 4) phi2))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 6)) (pow (- lambda1 lambda2) 4))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/6 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 6) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 8))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/3 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 6)) (pow (- lambda1 lambda2) 4))) (+ (* 23/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 29/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4))) (pow (- lambda1 lambda2) 4))) (+ (* 11/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 6)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 4)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 4) phi2))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2))))))))))))))))))))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 4)) (pow (- lambda1 lambda2) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/12 in phi2
* [misc]backup-simplify:  Simplify 1/12 into 1/12
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 4)) (pow (- lambda1 lambda2) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 4)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 4) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* (pow lambda1 2) (pow lambda1 2)) into (pow lambda1 4)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 4)) into (pow lambda1 4)
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
* [misc]backup-simplify:  Simplify (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2)) into (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 6))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 7/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 6) (pow lambda1 2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 5/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/6 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (* 2/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 2))) (pow (- lambda1 lambda2) 4))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 8))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 4) phi2))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 6)) (pow (- lambda1 lambda2) 4))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/6 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 6) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 8))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/3 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 6)) (pow (- lambda1 lambda2) 4))) (+ (* 23/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 29/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4))) (pow (- lambda1 lambda2) 4))) (+ (* 11/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 6)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 4)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 4) phi2))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))))))))))))))))))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 6))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/9 in phi2
* [misc]backup-simplify:  Simplify 1/9 into 1/9
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 6))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 6))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 6)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (sin (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 6) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1/2) into 1/4
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* lambda2 (pow lambda2 2)) into (pow lambda2 3)
* [misc]backup-simplify:  Simplify (* (pow lambda2 3) (pow lambda2 3)) into (pow lambda2 6)
* [misc]backup-simplify:  Simplify (* 1/4 (pow lambda2 6)) into (* 1/4 (pow lambda2 6))
* [misc]backup-simplify:  Simplify (* 1 (* 1/4 (pow lambda2 6))) into (* 1/4 (pow lambda2 6))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (pow lambda1 2) (pow lambda2 2)) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (pow lambda1 2) (pow lambda2 2))) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 2 (* lambda2 lambda1)) into (* 2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (* lambda2 lambda1))) into (- (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (+ (pow lambda1 2) (pow lambda2 2)) (- (* 2 (* lambda2 lambda1)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
* [misc]backup-simplify:  Simplify (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2)) into (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2))
* [misc]backup-simplify:  Simplify (/ (* 1/4 (pow lambda2 6)) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2))) into (* 1/4 (/ (pow lambda2 6) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 7/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 6) (pow lambda1 2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 5/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/6 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (* 2/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 2))) (pow (- lambda1 lambda2) 4))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 8))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 4) phi2))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 6)) (pow (- lambda1 lambda2) 4))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/6 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 6) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 8))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/3 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 6)) (pow (- lambda1 lambda2) 4))) (+ (* 23/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 29/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4))) (pow (- lambda1 lambda2) 4))) (+ (* 11/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 6)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 4)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 4) phi2))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2))))))))))))))))))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/9 in phi2
* [misc]backup-simplify:  Simplify 1/9 into 1/9
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 4)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (sin (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 4) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1/2) into 1/4
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* (pow lambda2 2) (pow lambda2 2)) into (pow lambda2 4)
* [misc]backup-simplify:  Simplify (* 1/4 (pow lambda2 4)) into (* 1/4 (pow lambda2 4))
* [misc]backup-simplify:  Simplify (* 1 (* 1/4 (pow lambda2 4))) into (* 1/4 (pow lambda2 4))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (pow lambda1 2) (pow lambda2 2)) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (pow lambda1 2) (pow lambda2 2))) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 2 (* lambda2 lambda1)) into (* 2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (* lambda2 lambda1))) into (- (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (+ (pow lambda1 2) (pow lambda2 2)) (- (* 2 (* lambda2 lambda1)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (/ (* 1/4 (pow lambda2 4)) (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) into (* 1/4 (/ (pow lambda2 4) (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 7/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 6) (pow lambda1 2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 5/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/6 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (* 2/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 2))) (pow (- lambda1 lambda2) 4))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 8))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 4) phi2))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 6)) (pow (- lambda1 lambda2) 4))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/6 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 6) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 8))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/3 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 6)) (pow (- lambda1 lambda2) 4))) (+ (* 23/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 29/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4))) (pow (- lambda1 lambda2) 4))) (+ (* 11/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 6)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 4)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 4) phi2))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))))))))))))))))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 7/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 6) (pow lambda1 2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) in phi2
* [misc]taylor:  Taking taylor expansion of 7/9 in phi2
* [misc]backup-simplify:  Simplify 7/9 into 7/9
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 6) (pow lambda1 2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 6) (pow lambda1 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 6) (pow lambda1 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (sin (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow lambda2 6) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 6) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)) in phi2
* [misc]taylor:  Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 4) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1/2) into 1/4
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* lambda2 (pow lambda2 2)) into (pow lambda2 3)
* [misc]backup-simplify:  Simplify (* (pow lambda2 3) (pow lambda2 3)) into (pow lambda2 6)
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* (pow lambda2 6) (pow lambda1 2)) into (* (pow lambda2 6) (pow lambda1 2))
* [misc]backup-simplify:  Simplify (* 1/4 (* (pow lambda2 6) (pow lambda1 2))) into (* 1/4 (* (pow lambda2 6) (pow lambda1 2)))
* [misc]backup-simplify:  Simplify (* 1 (* 1/4 (* (pow lambda2 6) (pow lambda1 2)))) into (* 1/4 (* (pow lambda2 6) (pow lambda1 2)))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (pow lambda1 2) (pow lambda2 2)) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (pow lambda1 2) (pow lambda2 2))) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 2 (* lambda2 lambda1)) into (* 2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (* lambda2 lambda1))) into (- (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (+ (pow lambda1 2) (pow lambda2 2)) (- (* 2 (* lambda2 lambda1)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
* [misc]backup-simplify:  Simplify (* (pow (- lambda1 lambda2) 2) (pow (- lambda1 lambda2) 2)) into (pow (- lambda1 lambda2) 4)
* [misc]backup-simplify:  Simplify (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 4)) into (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 4))
* [misc]backup-simplify:  Simplify (/ (* 1/4 (* (pow lambda2 6) (pow lambda1 2))) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 4))) into (* 1/4 (/ (* (pow lambda2 6) (pow lambda1 2)) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 4))))
* [misc]taylor:  Taking taylor expansion of (+ (* 5/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/6 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (* 2/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 2))) (pow (- lambda1 lambda2) 4))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 8))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 4) phi2))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 6)) (pow (- lambda1 lambda2) 4))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/6 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 6) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 8))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/3 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 6)) (pow (- lambda1 lambda2) 4))) (+ (* 23/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 29/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4))) (pow (- lambda1 lambda2) 4))) (+ (* 11/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 6)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 4)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 4) phi2))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2))))))))))))))))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 5/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of 5/3 in phi2
* [misc]backup-simplify:  Simplify 5/3 into 5/3
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 2)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (sin (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow lambda2 4) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 4) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1/2) into 1/4
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* (pow lambda2 2) (pow lambda2 2)) into (pow lambda2 4)
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* (pow lambda2 4) (pow lambda1 2)) into (* (pow lambda2 4) (pow lambda1 2))
* [misc]backup-simplify:  Simplify (* 1/4 (* (pow lambda2 4) (pow lambda1 2))) into (* 1/4 (* (pow lambda2 4) (pow lambda1 2)))
* [misc]backup-simplify:  Simplify (* 1 (* 1/4 (* (pow lambda2 4) (pow lambda1 2)))) into (* 1/4 (* (pow lambda2 4) (pow lambda1 2)))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (pow lambda1 2) (pow lambda2 2)) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (pow lambda1 2) (pow lambda2 2))) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 2 (* lambda2 lambda1)) into (* 2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (* lambda2 lambda1))) into (- (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (+ (pow lambda1 2) (pow lambda2 2)) (- (* 2 (* lambda2 lambda1)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
* [misc]backup-simplify:  Simplify (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2)) into (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2))
* [misc]backup-simplify:  Simplify (/ (* 1/4 (* (pow lambda2 4) (pow lambda1 2))) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2))) into (* 1/4 (/ (* (pow lambda2 4) (pow lambda1 2)) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/6 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2))) (+ (* 2/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 2))) (pow (- lambda1 lambda2) 4))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 8))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 4) phi2))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 6)) (pow (- lambda1 lambda2) 4))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/6 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 6) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 8))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/3 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 6)) (pow (- lambda1 lambda2) 4))) (+ (* 23/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 29/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4))) (pow (- lambda1 lambda2) 4))) (+ (* 11/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 6)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 4)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 4) phi2))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))))))))))))))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/6 (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/6 in phi2
* [misc]backup-simplify:  Simplify 1/6 into 1/6
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (+ (* 2/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 2))) (pow (- lambda1 lambda2) 4))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 8))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 4) phi2))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 6)) (pow (- lambda1 lambda2) 4))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/6 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 6) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 8))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/3 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 6)) (pow (- lambda1 lambda2) 4))) (+ (* 23/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 29/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4))) (pow (- lambda1 lambda2) 4))) (+ (* 11/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 6)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 4)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 4) phi2))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2))))))))))))))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 2/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) in phi2
* [misc]taylor:  Taking taylor expansion of 2/3 in phi2
* [misc]backup-simplify:  Simplify 2/3 into 2/3
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) phi2))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 2) phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sin (* 1/2 phi2)) (* (pow lambda2 2) phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow lambda2 2) phi2) in phi2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* (pow lambda2 2) 0) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow lambda2 2) 1) (* 0 0)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 0 (pow lambda2 2)) (* 1/2 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (+ (* 0 0) (* 0 lambda2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow lambda2 2) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1/2 (pow lambda2 2)) (* 0 0))) into (* 1/2 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (+ (* 1 (* 1/2 (pow lambda2 2))) (+ (* 0 0) (* (- 1/8) 0))) into (* 1/2 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (pow lambda1 2) (pow lambda2 2)) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (pow lambda1 2) (pow lambda2 2))) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 2 (* lambda2 lambda1)) into (* 2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (* lambda2 lambda1))) into (- (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (+ (pow lambda1 2) (pow lambda2 2)) (- (* 2 (* lambda2 lambda1)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (/ (* 1/2 (pow lambda2 2)) (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) into (* 1/2 (/ (pow lambda2 2) (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 2))) (pow (- lambda1 lambda2) 4))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 8))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 4) phi2))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 6)) (pow (- lambda1 lambda2) 4))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/6 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 6) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 8))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/3 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 6)) (pow (- lambda1 lambda2) 4))) (+ (* 23/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 29/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4))) (pow (- lambda1 lambda2) 4))) (+ (* 11/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 6)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 4)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 4) phi2))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))))))))))))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 2))) (pow (- lambda1 lambda2) 4))) in phi2
* [misc]taylor:  Taking taylor expansion of 5/3 in phi2
* [misc]backup-simplify:  Simplify 5/3 into 5/3
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 2))) (pow (- lambda1 lambda2) 4)) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (sin (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow lambda2 4) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 4) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 4) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* 1/2 1/2) into 1/4
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* (pow lambda2 2) (pow lambda2 2)) into (pow lambda2 4)
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* (pow lambda2 4) (pow lambda1 2)) into (* (pow lambda2 4) (pow lambda1 2))
* [misc]backup-simplify:  Simplify (* 1/4 (* (pow lambda2 4) (pow lambda1 2))) into (* 1/4 (* (pow lambda2 4) (pow lambda1 2)))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
* [misc]backup-simplify:  Simplify (* (pow (- lambda1 lambda2) 2) (pow (- lambda1 lambda2) 2)) into (pow (- lambda1 lambda2) 4)
* [misc]backup-simplify:  Simplify (/ (* 1/4 (* (pow lambda2 4) (pow lambda1 2))) (pow (- lambda1 lambda2) 4)) into (* 1/4 (/ (* (pow lambda2 4) (pow lambda1 2)) (pow (- lambda1 lambda2) 4)))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 8))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 4) phi2))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 6)) (pow (- lambda1 lambda2) 4))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/6 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 6) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 8))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/3 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 6)) (pow (- lambda1 lambda2) 4))) (+ (* 23/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 29/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4))) (pow (- lambda1 lambda2) 4))) (+ (* 11/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 6)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 4)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 4) phi2))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2))))))))))))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 8))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/36 in phi2
* [misc]backup-simplify:  Simplify 1/36 into 1/36
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 8))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 8))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 8)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (sin (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 8) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)) in phi2
* [misc]taylor:  Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 4) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1/2) into 1/4
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* (pow lambda2 2) (pow lambda2 2)) into (pow lambda2 4)
* [misc]backup-simplify:  Simplify (* (pow lambda2 4) (pow lambda2 4)) into (pow lambda2 8)
* [misc]backup-simplify:  Simplify (* 1/4 (pow lambda2 8)) into (* 1/4 (pow lambda2 8))
* [misc]backup-simplify:  Simplify (* 1 (* 1/4 (pow lambda2 8))) into (* 1/4 (pow lambda2 8))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (pow lambda1 2) (pow lambda2 2)) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (pow lambda1 2) (pow lambda2 2))) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 2 (* lambda2 lambda1)) into (* 2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (* lambda2 lambda1))) into (- (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (+ (pow lambda1 2) (pow lambda2 2)) (- (* 2 (* lambda2 lambda1)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
* [misc]backup-simplify:  Simplify (* (pow (- lambda1 lambda2) 2) (pow (- lambda1 lambda2) 2)) into (pow (- lambda1 lambda2) 4)
* [misc]backup-simplify:  Simplify (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 4)) into (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 4))
* [misc]backup-simplify:  Simplify (/ (* 1/4 (pow lambda2 8)) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 4))) into (* 1/4 (/ (pow lambda2 8) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 4))))
* [misc]taylor:  Taking taylor expansion of (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 4) phi2))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 6)) (pow (- lambda1 lambda2) 4))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/6 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 6) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 8))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/3 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 6)) (pow (- lambda1 lambda2) 4))) (+ (* 23/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 29/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4))) (pow (- lambda1 lambda2) 4))) (+ (* 11/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 6)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 4)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 4) phi2))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))))))))))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of 7/9 in phi2
* [misc]backup-simplify:  Simplify 7/9 into 7/9
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (pow lambda1 3))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (sin (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 (pow lambda1 3)) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 3) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* 1/2 1/2) into 1/4
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* lambda1 (pow lambda1 2)) into (pow lambda1 3)
* [misc]backup-simplify:  Simplify (* lambda2 (pow lambda1 3)) into (* lambda2 (pow lambda1 3))
* [misc]backup-simplify:  Simplify (* 1/4 (* lambda2 (pow lambda1 3))) into (* 1/4 (* lambda2 (pow lambda1 3)))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
* [misc]backup-simplify:  Simplify (/ (* 1/4 (* lambda2 (pow lambda1 3))) (pow (- lambda1 lambda2) 2)) into (* 1/4 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 4) phi2))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 6)) (pow (- lambda1 lambda2) 4))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/6 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 6) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 8))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/3 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 6)) (pow (- lambda1 lambda2) 4))) (+ (* 23/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 29/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4))) (pow (- lambda1 lambda2) 4))) (+ (* 11/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 6)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 4)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 4) phi2))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2))))))))))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 4) phi2))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/3 in phi2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 4) phi2))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 4) phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sin (* 1/2 phi2)) (* (pow lambda1 4) phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow lambda1 4) phi2) in phi2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 4) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]taylor:  Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* (pow lambda1 2) (pow lambda1 2)) into (pow lambda1 4)
* [misc]backup-simplify:  Simplify (* (pow lambda1 4) 0) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow lambda1 2) 0) (* 0 (pow lambda1 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow lambda1 4) 1) (* 0 0)) into (pow lambda1 4)
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 0 (pow lambda1 4)) (* 1/2 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda1 0) (+ (* 0 0) (* 0 lambda1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow lambda1 2) 0) (+ (* 0 0) (* 0 (pow lambda1 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow lambda1 4) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1/2 (pow lambda1 4)) (* 0 0))) into (* 1/2 (pow lambda1 4))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (+ (* 1 (* 1/2 (pow lambda1 4))) (+ (* 0 0) (* (- 1/8) 0))) into (* 1/2 (pow lambda1 4))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (pow lambda1 2) (pow lambda2 2)) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (pow lambda1 2) (pow lambda2 2))) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 2 (* lambda2 lambda1)) into (* 2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (* lambda2 lambda1))) into (- (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (+ (pow lambda1 2) (pow lambda2 2)) (- (* 2 (* lambda2 lambda1)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (* (pow (- lambda1 lambda2) 2) (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) into (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2))
* [misc]backup-simplify:  Simplify (/ (* 1/2 (pow lambda1 4)) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2))) into (* 1/2 (/ (pow lambda1 4) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 6)) (pow (- lambda1 lambda2) 4))) (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/6 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 6) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 8))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/3 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 6)) (pow (- lambda1 lambda2) 4))) (+ (* 23/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 29/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4))) (pow (- lambda1 lambda2) 4))) (+ (* 11/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 6)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 4)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 4) phi2))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))))))))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 6)) (pow (- lambda1 lambda2) 4))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/9 in phi2
* [misc]backup-simplify:  Simplify 1/9 into 1/9
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 6)) (pow (- lambda1 lambda2) 4)) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (* 1/2 phi2)) 2) (pow lambda2 6)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (sin (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 6) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 4) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* 1/2 1/2) into 1/4
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* lambda2 (pow lambda2 2)) into (pow lambda2 3)
* [misc]backup-simplify:  Simplify (* (pow lambda2 3) (pow lambda2 3)) into (pow lambda2 6)
* [misc]backup-simplify:  Simplify (* 1/4 (pow lambda2 6)) into (* 1/4 (pow lambda2 6))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
* [misc]backup-simplify:  Simplify (* (pow (- lambda1 lambda2) 2) (pow (- lambda1 lambda2) 2)) into (pow (- lambda1 lambda2) 4)
* [misc]backup-simplify:  Simplify (/ (* 1/4 (pow lambda2 6)) (pow (- lambda1 lambda2) 4)) into (* 1/4 (/ (pow lambda2 6) (pow (- lambda1 lambda2) 4)))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/6 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 6) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 8))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/3 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 6)) (pow (- lambda1 lambda2) 4))) (+ (* 23/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 29/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4))) (pow (- lambda1 lambda2) 4))) (+ (* 11/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 6)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 4)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 4) phi2))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2))))))))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/9 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/9 in phi2
* [misc]backup-simplify:  Simplify 1/9 into 1/9
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 4)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (sin (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 4) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1/2) into 1/4
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* (pow lambda1 2) (pow lambda1 2)) into (pow lambda1 4)
* [misc]backup-simplify:  Simplify (* 1/4 (pow lambda1 4)) into (* 1/4 (pow lambda1 4))
* [misc]backup-simplify:  Simplify (* 1 (* 1/4 (pow lambda1 4))) into (* 1/4 (pow lambda1 4))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (pow lambda1 2) (pow lambda2 2)) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (pow lambda1 2) (pow lambda2 2))) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 2 (* lambda2 lambda1)) into (* 2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (* lambda2 lambda1))) into (- (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (+ (pow lambda1 2) (pow lambda2 2)) (- (* 2 (* lambda2 lambda1)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (/ (* 1/4 (pow lambda1 4)) (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) into (* 1/4 (/ (pow lambda1 4) (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/6 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 6) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 8))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/3 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 6)) (pow (- lambda1 lambda2) 4))) (+ (* 23/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 29/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4))) (pow (- lambda1 lambda2) 4))) (+ (* 11/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 6)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 4)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 4) phi2))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))))))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/6 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 6) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/6 in phi2
* [misc]backup-simplify:  Simplify 1/6 into 1/6
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 6) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 6) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 6) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (sin (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow lambda1 6) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 6) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 4) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]taylor:  Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1/2) into 1/4
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* lambda1 (pow lambda1 2)) into (pow lambda1 3)
* [misc]backup-simplify:  Simplify (* (pow lambda1 3) (pow lambda1 3)) into (pow lambda1 6)
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* (pow lambda1 6) (pow lambda2 2)) into (* (pow lambda2 2) (pow lambda1 6))
* [misc]backup-simplify:  Simplify (* 1/4 (* (pow lambda2 2) (pow lambda1 6))) into (* 1/4 (* (pow lambda2 2) (pow lambda1 6)))
* [misc]backup-simplify:  Simplify (* 1 (* 1/4 (* (pow lambda2 2) (pow lambda1 6)))) into (* 1/4 (* (pow lambda2 2) (pow lambda1 6)))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
* [misc]backup-simplify:  Simplify (* (pow (- lambda1 lambda2) 2) (pow (- lambda1 lambda2) 2)) into (pow (- lambda1 lambda2) 4)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (pow lambda1 2) (pow lambda2 2)) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (pow lambda1 2) (pow lambda2 2))) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 2 (* lambda2 lambda1)) into (* 2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (* lambda2 lambda1))) into (- (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (+ (pow lambda1 2) (pow lambda2 2)) (- (* 2 (* lambda2 lambda1)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (* (pow (- lambda1 lambda2) 4) (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) into (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 4))
* [misc]backup-simplify:  Simplify (/ (* 1/4 (* (pow lambda2 2) (pow lambda1 6))) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 4))) into (* 1/4 (/ (* (pow lambda2 2) (pow lambda1 6)) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 4))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 8))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/3 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 6)) (pow (- lambda1 lambda2) 4))) (+ (* 23/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 29/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4))) (pow (- lambda1 lambda2) 4))) (+ (* 11/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 6)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 4)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 4) phi2))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2))))))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 8))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/36 in phi2
* [misc]backup-simplify:  Simplify 1/36 into 1/36
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 8))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 8))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 8)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (sin (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 8) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 4) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]taylor:  Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1/2) into 1/4
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* (pow lambda1 2) (pow lambda1 2)) into (pow lambda1 4)
* [misc]backup-simplify:  Simplify (* (pow lambda1 4) (pow lambda1 4)) into (pow lambda1 8)
* [misc]backup-simplify:  Simplify (* 1/4 (pow lambda1 8)) into (* 1/4 (pow lambda1 8))
* [misc]backup-simplify:  Simplify (* 1 (* 1/4 (pow lambda1 8))) into (* 1/4 (pow lambda1 8))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
* [misc]backup-simplify:  Simplify (* (pow (- lambda1 lambda2) 2) (pow (- lambda1 lambda2) 2)) into (pow (- lambda1 lambda2) 4)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (pow lambda1 2) (pow lambda2 2)) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (pow lambda1 2) (pow lambda2 2))) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 2 (* lambda2 lambda1)) into (* 2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (* lambda2 lambda1))) into (- (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (+ (pow lambda1 2) (pow lambda2 2)) (- (* 2 (* lambda2 lambda1)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (* (pow (- lambda1 lambda2) 4) (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) into (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 4))
* [misc]backup-simplify:  Simplify (/ (* 1/4 (pow lambda1 8)) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 4))) into (* 1/4 (/ (pow lambda1 8) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 4))))
* [misc]taylor:  Taking taylor expansion of (+ (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/3 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 6)) (pow (- lambda1 lambda2) 4))) (+ (* 23/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 29/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4))) (pow (- lambda1 lambda2) 4))) (+ (* 11/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 6)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 4)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 4) phi2))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 7/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of 7/9 in phi2
* [misc]backup-simplify:  Simplify 7/9 into 7/9
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 3) lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (sin (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow lambda2 3) lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 3) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* 1/2 1/2) into 1/4
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* lambda2 (pow lambda2 2)) into (pow lambda2 3)
* [misc]backup-simplify:  Simplify (* (pow lambda2 3) lambda1) into (* (pow lambda2 3) lambda1)
* [misc]backup-simplify:  Simplify (* 1/4 (* (pow lambda2 3) lambda1)) into (* 1/4 (* (pow lambda2 3) lambda1))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
* [misc]backup-simplify:  Simplify (/ (* 1/4 (* (pow lambda2 3) lambda1)) (pow (- lambda1 lambda2) 2)) into (* 1/4 (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) (+ (* 1/3 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 6)) (pow (- lambda1 lambda2) 4))) (+ (* 23/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 29/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4))) (pow (- lambda1 lambda2) 4))) (+ (* 11/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 6)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 4)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 4) phi2))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2))))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 2/3 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) in phi2
* [misc]taylor:  Taking taylor expansion of 2/3 in phi2
* [misc]backup-simplify:  Simplify 2/3 into 2/3
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2)))) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (sin (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow lambda2 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1/2) into 1/4
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* (pow lambda2 2) (pow lambda1 2)) into (* (pow lambda2 2) (pow lambda1 2))
* [misc]backup-simplify:  Simplify (* 1/4 (* (pow lambda2 2) (pow lambda1 2))) into (* 1/4 (* (pow lambda2 2) (pow lambda1 2)))
* [misc]backup-simplify:  Simplify (* 1 (* 1/4 (* (pow lambda2 2) (pow lambda1 2)))) into (* 1/4 (* (pow lambda2 2) (pow lambda1 2)))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (pow lambda1 2) (pow lambda2 2)) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (pow lambda1 2) (pow lambda2 2))) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 2 (* lambda2 lambda1)) into (* 2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (* lambda2 lambda1))) into (- (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (+ (pow lambda1 2) (pow lambda2 2)) (- (* 2 (* lambda2 lambda1)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (/ (* 1/4 (* (pow lambda2 2) (pow lambda1 2))) (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) into (* 1/4 (/ (* (pow lambda2 2) (pow lambda1 2)) (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/3 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 6)) (pow (- lambda1 lambda2) 4))) (+ (* 23/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 29/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4))) (pow (- lambda1 lambda2) 4))) (+ (* 11/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 6)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 4)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 4) phi2))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/3 in phi2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (sin (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (+ (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 6)) (pow (- lambda1 lambda2) 4))) (+ (* 23/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 29/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4))) (pow (- lambda1 lambda2) 4))) (+ (* 11/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 6)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 4)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 4) phi2))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/9 (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 6)) (pow (- lambda1 lambda2) 4))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/9 in phi2
* [misc]backup-simplify:  Simplify 1/9 into 1/9
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 6)) (pow (- lambda1 lambda2) 4)) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (* 1/2 phi2)) 2) (pow lambda1 6)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (sin (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 6) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 4) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* 1/2 1/2) into 1/4
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* lambda1 (pow lambda1 2)) into (pow lambda1 3)
* [misc]backup-simplify:  Simplify (* (pow lambda1 3) (pow lambda1 3)) into (pow lambda1 6)
* [misc]backup-simplify:  Simplify (* 1/4 (pow lambda1 6)) into (* 1/4 (pow lambda1 6))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
* [misc]backup-simplify:  Simplify (* (pow (- lambda1 lambda2) 2) (pow (- lambda1 lambda2) 2)) into (pow (- lambda1 lambda2) 4)
* [misc]backup-simplify:  Simplify (/ (* 1/4 (pow lambda1 6)) (pow (- lambda1 lambda2) 4)) into (* 1/4 (/ (pow lambda1 6) (pow (- lambda1 lambda2) 4)))
* [misc]taylor:  Taking taylor expansion of (+ (* 23/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 29/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4))) (pow (- lambda1 lambda2) 4))) (+ (* 11/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 6)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 4)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 4) phi2))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 23/12 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) in phi2
* [misc]taylor:  Taking taylor expansion of 23/12 in phi2
* [misc]backup-simplify:  Simplify 23/12 into 23/12
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 4)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 4) (pow lambda1 4))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (sin (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow lambda2 4) (pow lambda1 4)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 4) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 4) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)) in phi2
* [misc]taylor:  Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 4) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1/2) into 1/4
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* (pow lambda2 2) (pow lambda2 2)) into (pow lambda2 4)
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* (pow lambda1 2) (pow lambda1 2)) into (pow lambda1 4)
* [misc]backup-simplify:  Simplify (* (pow lambda2 4) (pow lambda1 4)) into (* (pow lambda2 4) (pow lambda1 4))
* [misc]backup-simplify:  Simplify (* 1/4 (* (pow lambda2 4) (pow lambda1 4))) into (* 1/4 (* (pow lambda2 4) (pow lambda1 4)))
* [misc]backup-simplify:  Simplify (* 1 (* 1/4 (* (pow lambda2 4) (pow lambda1 4)))) into (* 1/4 (* (pow lambda2 4) (pow lambda1 4)))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (pow lambda1 2) (pow lambda2 2)) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (pow lambda1 2) (pow lambda2 2))) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 2 (* lambda2 lambda1)) into (* 2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (* lambda2 lambda1))) into (- (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (+ (pow lambda1 2) (pow lambda2 2)) (- (* 2 (* lambda2 lambda1)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
* [misc]backup-simplify:  Simplify (* (pow (- lambda1 lambda2) 2) (pow (- lambda1 lambda2) 2)) into (pow (- lambda1 lambda2) 4)
* [misc]backup-simplify:  Simplify (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 4)) into (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 4))
* [misc]backup-simplify:  Simplify (/ (* 1/4 (* (pow lambda2 4) (pow lambda1 4))) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 4))) into (* 1/4 (/ (* (pow lambda2 4) (pow lambda1 4)) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 4))))
* [misc]taylor:  Taking taylor expansion of (+ (* 29/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) (+ (* 1/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4))) (pow (- lambda1 lambda2) 4))) (+ (* 11/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 6)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 4)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 4) phi2))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 29/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of 29/18 in phi2
* [misc]backup-simplify:  Simplify 29/18 into 29/18
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (sin (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow lambda2 2) (pow lambda1 4)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 4) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1/2) into 1/4
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* (pow lambda1 2) (pow lambda1 2)) into (pow lambda1 4)
* [misc]backup-simplify:  Simplify (* (pow lambda2 2) (pow lambda1 4)) into (* (pow lambda2 2) (pow lambda1 4))
* [misc]backup-simplify:  Simplify (* 1/4 (* (pow lambda2 2) (pow lambda1 4))) into (* 1/4 (* (pow lambda2 2) (pow lambda1 4)))
* [misc]backup-simplify:  Simplify (* 1 (* 1/4 (* (pow lambda2 2) (pow lambda1 4)))) into (* 1/4 (* (pow lambda2 2) (pow lambda1 4)))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (pow lambda1 2) (pow lambda2 2)) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (pow lambda1 2) (pow lambda2 2))) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 2 (* lambda2 lambda1)) into (* 2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (* lambda2 lambda1))) into (- (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (+ (pow lambda1 2) (pow lambda2 2)) (- (* 2 (* lambda2 lambda1)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
* [misc]backup-simplify:  Simplify (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2)) into (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2))
* [misc]backup-simplify:  Simplify (/ (* 1/4 (* (pow lambda2 2) (pow lambda1 4))) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2))) into (* 1/4 (/ (* (pow lambda2 2) (pow lambda1 4)) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4))) (pow (- lambda1 lambda2) 4))) (+ (* 11/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 6)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 4)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 4) phi2))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/18 in phi2
* [misc]backup-simplify:  Simplify 1/18 into 1/18
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 2)))) (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (sin (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow lambda1 4) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 4) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]taylor:  Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1/2) into 1/4
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* (pow lambda1 2) (pow lambda1 2)) into (pow lambda1 4)
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* (pow lambda1 4) (pow lambda2 2)) into (* (pow lambda2 2) (pow lambda1 4))
* [misc]backup-simplify:  Simplify (* 1/4 (* (pow lambda2 2) (pow lambda1 4))) into (* 1/4 (* (pow lambda2 2) (pow lambda1 4)))
* [misc]backup-simplify:  Simplify (* 1 (* 1/4 (* (pow lambda2 2) (pow lambda1 4)))) into (* 1/4 (* (pow lambda2 2) (pow lambda1 4)))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (pow lambda1 2) (pow lambda2 2)) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (pow lambda1 2) (pow lambda2 2))) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 2 (* lambda2 lambda1)) into (* 2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (* lambda2 lambda1))) into (- (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (+ (pow lambda1 2) (pow lambda2 2)) (- (* 2 (* lambda2 lambda1)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (* (pow (- lambda1 lambda2) 2) (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) into (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2))
* [misc]backup-simplify:  Simplify (/ (* 1/4 (* (pow lambda2 2) (pow lambda1 4))) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2))) into (* 1/4 (/ (* (pow lambda2 2) (pow lambda1 4)) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2))))
* [misc]taylor:  Taking taylor expansion of (+ (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4))) (pow (- lambda1 lambda2) 4))) (+ (* 11/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 6)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 4)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 4) phi2))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 5/3 (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4))) (pow (- lambda1 lambda2) 4))) in phi2
* [misc]taylor:  Taking taylor expansion of 5/3 in phi2
* [misc]backup-simplify:  Simplify 5/3 into 5/3
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4))) (pow (- lambda1 lambda2) 4)) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 4))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (sin (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow lambda2 2) (pow lambda1 4)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 4) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 4) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* 1/2 1/2) into 1/4
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* (pow lambda1 2) (pow lambda1 2)) into (pow lambda1 4)
* [misc]backup-simplify:  Simplify (* (pow lambda2 2) (pow lambda1 4)) into (* (pow lambda2 2) (pow lambda1 4))
* [misc]backup-simplify:  Simplify (* 1/4 (* (pow lambda2 2) (pow lambda1 4))) into (* 1/4 (* (pow lambda2 2) (pow lambda1 4)))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
* [misc]backup-simplify:  Simplify (* (pow (- lambda1 lambda2) 2) (pow (- lambda1 lambda2) 2)) into (pow (- lambda1 lambda2) 4)
* [misc]backup-simplify:  Simplify (/ (* 1/4 (* (pow lambda2 2) (pow lambda1 4))) (pow (- lambda1 lambda2) 4)) into (* 1/4 (/ (* (pow lambda2 2) (pow lambda1 4)) (pow (- lambda1 lambda2) 4)))
* [misc]taylor:  Taking taylor expansion of (+ (* 11/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 6)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 4)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 4) phi2))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 11/18 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 6)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)))) in phi2
* [misc]taylor:  Taking taylor expansion of 11/18 in phi2
* [misc]backup-simplify:  Simplify 11/18 into 11/18
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 6)))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 6)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda2 2) (pow lambda1 6))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (sin (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow lambda2 2) (pow lambda1 6)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 6) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 4)) in phi2
* [misc]taylor:  Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 4) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1/2) into 1/4
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* lambda1 (pow lambda1 2)) into (pow lambda1 3)
* [misc]backup-simplify:  Simplify (* (pow lambda1 3) (pow lambda1 3)) into (pow lambda1 6)
* [misc]backup-simplify:  Simplify (* (pow lambda2 2) (pow lambda1 6)) into (* (pow lambda2 2) (pow lambda1 6))
* [misc]backup-simplify:  Simplify (* 1/4 (* (pow lambda2 2) (pow lambda1 6))) into (* 1/4 (* (pow lambda2 2) (pow lambda1 6)))
* [misc]backup-simplify:  Simplify (* 1 (* 1/4 (* (pow lambda2 2) (pow lambda1 6)))) into (* 1/4 (* (pow lambda2 2) (pow lambda1 6)))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (pow lambda1 2) (pow lambda2 2)) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (pow lambda1 2) (pow lambda2 2))) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 2 (* lambda2 lambda1)) into (* 2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (* lambda2 lambda1))) into (- (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (+ (pow lambda1 2) (pow lambda2 2)) (- (* 2 (* lambda2 lambda1)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
* [misc]backup-simplify:  Simplify (* (pow (- lambda1 lambda2) 2) (pow (- lambda1 lambda2) 2)) into (pow (- lambda1 lambda2) 4)
* [misc]backup-simplify:  Simplify (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 4)) into (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 4))
* [misc]backup-simplify:  Simplify (/ (* 1/4 (* (pow lambda2 2) (pow lambda1 6))) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 4))) into (* 1/4 (/ (* (pow lambda2 2) (pow lambda1 6)) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 4))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 4)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 4) phi2))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/36 (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 4)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/36 in phi2
* [misc]backup-simplify:  Simplify 1/36 into 1/36
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 4)))) (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 4)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (* 1/2 phi2)) 2) (* (pow lambda1 4) (pow lambda2 4))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (sin (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow lambda1 4) (pow lambda2 4)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 4) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (pow lambda2 4) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* (pow (- lambda1 lambda2) 4) (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 4) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]taylor:  Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1/2) into 1/4
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* (pow lambda1 2) (pow lambda1 2)) into (pow lambda1 4)
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* (pow lambda2 2) (pow lambda2 2)) into (pow lambda2 4)
* [misc]backup-simplify:  Simplify (* (pow lambda1 4) (pow lambda2 4)) into (* (pow lambda2 4) (pow lambda1 4))
* [misc]backup-simplify:  Simplify (* 1/4 (* (pow lambda2 4) (pow lambda1 4))) into (* 1/4 (* (pow lambda2 4) (pow lambda1 4)))
* [misc]backup-simplify:  Simplify (* 1 (* 1/4 (* (pow lambda2 4) (pow lambda1 4)))) into (* 1/4 (* (pow lambda2 4) (pow lambda1 4)))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
* [misc]backup-simplify:  Simplify (* (pow (- lambda1 lambda2) 2) (pow (- lambda1 lambda2) 2)) into (pow (- lambda1 lambda2) 4)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (pow lambda1 2) (pow lambda2 2)) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (pow lambda1 2) (pow lambda2 2))) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 2 (* lambda2 lambda1)) into (* 2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (* lambda2 lambda1))) into (- (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (+ (pow lambda1 2) (pow lambda2 2)) (- (* 2 (* lambda2 lambda1)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (* (pow (- lambda1 lambda2) 4) (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) into (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 4))
* [misc]backup-simplify:  Simplify (/ (* 1/4 (* (pow lambda2 4) (pow lambda1 4))) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 4))) into (* 1/4 (/ (* (pow lambda2 4) (pow lambda1 4)) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 4))))
* [misc]taylor:  Taking taylor expansion of (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 4) phi2))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/3 in phi2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 4) phi2))) (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda2 4) phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sin (* 1/2 phi2)) (* (pow lambda2 4) phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow lambda2 4) phi2) in phi2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 4) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) (pow (- lambda1 lambda2) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* (pow lambda2 2) (pow lambda2 2)) into (pow lambda2 4)
* [misc]backup-simplify:  Simplify (* (pow lambda2 4) 0) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow lambda2 2) 0) (* 0 (pow lambda2 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow lambda2 4) 1) (* 0 0)) into (pow lambda2 4)
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 0 (pow lambda2 4)) (* 1/2 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (+ (* 0 0) (* 0 lambda2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow lambda2 2) 0) (+ (* 0 0) (* 0 (pow lambda2 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow lambda2 4) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1/2 (pow lambda2 4)) (* 0 0))) into (* 1/2 (pow lambda2 4))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (+ (* 1 (* 1/2 (pow lambda2 4))) (+ (* 0 0) (* (- 1/8) 0))) into (* 1/2 (pow lambda2 4))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (pow lambda1 2) (pow lambda2 2)) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (pow lambda1 2) (pow lambda2 2))) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 2 (* lambda2 lambda1)) into (* 2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (* lambda2 lambda1))) into (- (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (+ (pow lambda1 2) (pow lambda2 2)) (- (* 2 (* lambda2 lambda1)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
* [misc]backup-simplify:  Simplify (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2)) into (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2))
* [misc]backup-simplify:  Simplify (/ (* 1/2 (pow lambda2 4)) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2))) into (* 1/2 (/ (pow lambda2 4) (* (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (pow (- lambda1 lambda2) 2))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (pow phi2 2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ (pow lambda1 2) (pow lambda2 2)) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (pow lambda1 2) (pow lambda2 2))) into (+ (pow lambda1 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 2 (* lambda2 lambda1)) into (* 2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (* lambda2 lambda1))) into (- (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (+ (pow lambda1 2) (pow lambda2 2)) (- (* 2 (* lambda2 lambda1)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) into (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) into (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))))
* [misc]backup-simplify:  Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (pow lambda1 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (pow lambda2 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 lambda1)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (* lambda2 lambda1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (* lambda2 lambda1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) (/ 0 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))))) into 0
* [misc]backup-simplify:  Simplify (* 1/3 (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2))) into (* 1/3 (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2)))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (* 1/3 (* lambda2 lambda1)) into (* 1/3 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (* 1/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))) into (* 1/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))) 0) into (* 1/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2)))) into (* 1/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2)))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2)))) into (+ (* 1/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))) 1)
* [misc]backup-simplify:  Simplify (+ (* 1/3 (* lambda2 lambda1)) (+ (* 1/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))) 1)) into (+ (* 1/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))) (+ 1 (* 1/3 (* lambda2 lambda1))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 1/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))) (+ 1 (* 1/3 (* lambda2 lambda1))))) into (+ (* 1/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))) (+ 1 (* 1/3 (* lambda2 lambda1))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 1/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))) (+ 1 (* 1/3 (* lambda2 lambda1))))) into (+ (* 1/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))) (+ 1 (* 1/3 (* lambda2 lambda1))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 1/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))) (+ 1 (* 1/3 (* lambda2 lambda1))))) into (+ (* 1/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))) (+ 1 (* 1/3 (* lambda2 lambda1))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 1/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))) (+ 1 (* 1/3 (* lambda2 lambda1))))) into (+ (* 1/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))) (+ 1 (* 1/3 (* lambda2 lambda1))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 1/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))) (+ 1 (* 1/3 (* lambda2 lambda1))))) into (+ (* 1/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))) (+ 1 (* 1/3 (* lambda2 lambda1))))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))) (+ 1 (* 1/3 (* lambda2 lambda1))))) into (+ (* 1/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (* lambda2 lambda1)) (+ (* 1/3 (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2))) 1)))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 1/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (* lambda2 lambda1)) (+ (* 1/3 (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2))) 1)))) into (+ (* 1/3 (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))) (+ 1 (* 1/3 (* lambda2 lambda1)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 1/3 (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))) (+ 1 (* 1/3 (* lambda2 lambda1)))))) into (+ (* 1/3 (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))) (+ 1 (* 1/3 (* lambda2 lambda1)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 1/3 (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))) (+ 1 (* 1/3 (* lambda2 lambda1)))))) into (+ (* 1/3 (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))) (+ 1 (* 1/3 (* lambda2 lambda1)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 1/3 (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))) (+ 1 (* 1/3 (* lambda2 lambda1)))))) into (+ (* 1/3 (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))) (+ 1 (* 1/3 (* lambda2 lambda1)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 1/3 (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))) (+ 1 (* 1/3 (* lambda2 lambda1)))))) into (+ (* 1/3 (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))) (+ 1 (* 1/3 (* lambda2 lambda1)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 1/3 (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))) (+ 1 (* 1/3 (* lambda2 lambda1)))))) into (+ (* 1/3 (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))) (+ 1 (* 1/3 (* lambda2 lambda1)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 1/3 (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))) (+ 1 (* 1/3 (* lambda2 lambda1)))))) into (+ (* 1/3 (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))) (+ 1 (* 1/3 (* lambda2 lambda1)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 1/3 (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))) (+ 1 (* 1/3 (* lambda2 lambda1)))))) into (+ (* 1/3 (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))) (+ 1 (* 1/3 (* lambda2 lambda1)))))
* [misc]backup-simplify:  Simplify (* 1/12 (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2))) into (* 1/12 (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2)))
* [misc]backup-simplify:  Simplify (* 1/2 (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2))) into (* 1/2 (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2)))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1/6 (pow lambda2 2)) into (* 1/6 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1/12 (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2))) into (* 1/12 (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2)))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1 (pow lambda1 2)) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (* 1/6 (pow lambda1 2)) into (* 1/6 (pow lambda1 2))
* [misc]backup-simplify:  Simplify (+ (* 1/6 (pow lambda1 2)) 0) into (* 1/6 (pow lambda1 2))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/6 (pow lambda1 2))) into (* 1/6 (pow lambda1 2))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/6 (pow lambda1 2))) into (* 1/6 (pow lambda1 2))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/6 (pow lambda1 2))) into (* 1/6 (pow lambda1 2))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/6 (pow lambda1 2))) into (* 1/6 (pow lambda1 2))
* [misc]backup-simplify:  Simplify (+ (* 1/12 (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2))) (* 1/6 (pow lambda1 2))) into (+ (* 1/6 (pow lambda1 2)) (* 1/12 (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 1/6 (pow lambda1 2)) (* 1/12 (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2))))) into (+ (* 1/6 (pow lambda1 2)) (* 1/12 (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2))))
* [misc]backup-simplify:  Simplify (+ (* 1/6 (pow lambda2 2)) (+ (* 1/6 (pow lambda1 2)) (* 1/12 (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2))))) into (+ (* 1/6 (pow lambda1 2)) (+ (* 1/6 (pow lambda2 2)) (* 1/12 (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2)))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (pow lambda1 2)) (+ (* 1/6 (pow lambda2 2)) (* 1/12 (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2)))))) into (+ (* 1/2 (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (pow lambda2 2)) (+ (* 1/6 (pow lambda1 2)) (* 1/12 (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 1/2 (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (pow lambda2 2)) (+ (* 1/6 (pow lambda1 2)) (* 1/12 (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2))))))) into (+ (* 1/2 (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (pow lambda2 2)) (+ (* 1/6 (pow lambda1 2)) (* 1/12 (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 1/2 (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (pow lambda2 2)) (+ (* 1/6 (pow lambda1 2)) (* 1/12 (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2))))))) into (+ (* 1/2 (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (pow lambda2 2)) (+ (* 1/6 (pow lambda1 2)) (* 1/12 (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 1/2 (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (pow lambda2 2)) (+ (* 1/6 (pow lambda1 2)) (* 1/12 (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2))))))) into (+ (* 1/2 (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (pow lambda2 2)) (+ (* 1/6 (pow lambda1 2)) (* 1/12 (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2))))))
* [misc]backup-simplify:  Simplify (+ (* 1/12 (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2))) (+ (* 1/2 (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (pow lambda2 2)) (+ (* 1/6 (pow lambda1 2)) (* 1/12 (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2))))))) into (+ (* 1/2 (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (pow lambda2 2)) (+ (* 1/12 (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (pow lambda1 2)) (* 1/12 (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (pow lambda2 2)) (+ (* 1/12 (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (pow lambda1 2)) (* 1/12 (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2)))))))) into (- (+ (* 1/2 (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (pow lambda2 2)) (+ (* 1/6 (pow lambda1 2)) (+ (* 1/12 (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2))) (* 1/12 (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2))))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 1/3 (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))) (+ 1 (* 1/3 (* lambda2 lambda1))))) (- (+ (* 1/2 (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (pow lambda2 2)) (+ (* 1/6 (pow lambda1 2)) (+ (* 1/12 (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2))) (* 1/12 (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2))))))))) into (- (+ 1 (+ (* 1/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2))) (* 1/3 (* lambda2 lambda1))))) (+ (* 1/2 (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (pow lambda2 2)) (+ (* 1/12 (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (pow lambda1 2)) (* 1/12 (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2))))))))
* [misc]backup-simplify:  Simplify (* (- (+ 1 (+ (* 1/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2))) (* 1/3 (* lambda2 lambda1))))) (+ (* 1/2 (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (pow lambda2 2)) (+ (* 1/12 (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (pow lambda1 2)) (* 1/12 (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2)))))))) (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))))) into (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (- (+ (* 1/3 (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))) (+ 1 (* 1/3 (* lambda2 lambda1))))) (+ (* 1/2 (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2))) (+ (* 1/12 (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2))) (+ (* 1/12 (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (pow lambda1 2)) (* 1/6 (pow lambda2 2))))))))
* [misc]backup-simplify:  Simplify (* 1/2 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (- (+ (* 1/3 (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))) (+ 1 (* 1/3 (* lambda2 lambda1))))) (+ (* 1/2 (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2))) (+ (* 1/12 (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2))) (+ (* 1/12 (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (pow lambda1 2)) (* 1/6 (pow lambda2 2))))))))) into (* 1/2 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (- (+ 1 (+ (* 1/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2))) (* 1/3 (* lambda2 lambda1))))) (+ (* 1/2 (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (pow lambda2 2)) (+ (* 1/12 (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (pow lambda1 2)) (* 1/12 (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2))))))))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (- (+ 1 (+ (* 1/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2))) (* 1/3 (* lambda2 lambda1))))) (+ (* 1/2 (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (pow lambda2 2)) (+ (* 1/12 (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (pow lambda1 2)) (* 1/12 (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2)))))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (- (+ 1 (+ (* 1/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2))) (* 1/3 (* lambda2 lambda1))))) (+ (* 1/2 (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (pow lambda2 2)) (+ (* 1/12 (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (pow lambda1 2)) (* 1/12 (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2))))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (pow lambda1 2) (pow lambda2 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* lambda2 lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* lambda2 0) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow lambda2 2) 0) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow lambda2 2)) into (/ 1 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (pow lambda2 2))) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 1) (* 0 0)) into lambda2
* [misc]backup-simplify:  Simplify (+ (* 2 lambda2) (* 0 0)) into (* 2 lambda2)
* [misc]backup-simplify:  Simplify (- (* 2 lambda2)) into (- (* 2 lambda2))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 lambda2))) into (- (* 2 lambda2))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow lambda2 2)) (/ (- (* 2 lambda2)) (pow lambda2 2))))) into (* 2 (/ 1 (pow lambda2 3)))
* [misc]backup-simplify:  Simplify (/ (* 2 (/ 1 (pow lambda2 3))) (* 2 (sqrt (/ 1 (pow lambda2 2))))) into (/ 1 (pow lambda2 2))
* [misc]taylor:  Taking taylor expansion of (- (+ 1 (+ (* 1/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2))) (* 1/3 (* lambda2 lambda1))))) (+ (* 1/2 (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (pow lambda2 2)) (+ (* 1/12 (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (pow lambda1 2)) (* 1/12 (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2)))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ 1 (+ (* 1/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2))) (* 1/3 (* lambda2 lambda1))))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1 in lambda1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 1/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2))) (* 1/3 (* lambda2 lambda1)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (* lambda2 (pow lambda1 3)) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 3) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (- lambda2)) into (- lambda2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 1) into lambda2
* [misc]backup-simplify:  Simplify (* (- lambda2) (- lambda2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (/ lambda2 (pow lambda2 2)) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (+ (* 1/3 (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2))) (* 1/3 (* lambda2 lambda1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow lambda2 3) lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of (pow lambda2 3) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (- lambda2)) into (- lambda2)
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* lambda2 (pow lambda2 2)) into (pow lambda2 3)
* [misc]backup-simplify:  Simplify (* (pow lambda2 3) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 (pow lambda2 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow lambda2 3) 1) (* 0 0)) into (pow lambda2 3)
* [misc]backup-simplify:  Simplify (* (- lambda2) (- lambda2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (/ (pow lambda2 3) (pow lambda2 2)) into lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (* lambda2 lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (pow lambda2 2)) (+ (* 1/12 (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (pow lambda1 2)) (* 1/12 (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow lambda2 2) (pow lambda1 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (- lambda2)) into (- lambda2)
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (pow lambda2 2) 1) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* (- lambda2) (- lambda2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (/ (pow lambda2 2) (pow lambda2 2)) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 1/6 (pow lambda2 2)) (+ (* 1/12 (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (pow lambda1 2)) (* 1/12 (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2)))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/6 (pow lambda2 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/6 in lambda1
* [misc]backup-simplify:  Simplify 1/6 into 1/6
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (+ (* 1/12 (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (pow lambda1 2)) (* 1/12 (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/12 (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/12 in lambda1
* [misc]backup-simplify:  Simplify 1/12 into 1/12
* [misc]taylor:  Taking taylor expansion of (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (pow lambda1 4) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (- lambda2)) into (- lambda2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (- lambda2) (- lambda2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow lambda2 2)) into (/ 1 (pow lambda2 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/6 (pow lambda1 2)) (* 1/12 (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/6 (pow lambda1 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/6 in lambda1
* [misc]backup-simplify:  Simplify 1/6 into 1/6
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 1/12 (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/12 in lambda1
* [misc]backup-simplify:  Simplify 1/12 into 1/12
* [misc]taylor:  Taking taylor expansion of (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (pow lambda2 4) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (- lambda2)) into (- lambda2)
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* (pow lambda2 2) (pow lambda2 2)) into (pow lambda2 4)
* [misc]backup-simplify:  Simplify (* (- lambda2) (- lambda2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (/ (pow lambda2 4) (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* lambda2 0) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1/6 (pow lambda2 2)) into (* 1/6 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1/12 (pow lambda2 2)) into (* 1/12 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/12 (pow lambda2 2))) into (* 1/12 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/12 (pow lambda2 2))) into (* 1/12 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ (* 1/6 (pow lambda2 2)) (* 1/12 (pow lambda2 2))) into (* 1/4 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (pow lambda2 2))) into (* 1/4 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (- (* 1/4 (pow lambda2 2))) into (- (* 1/4 (pow lambda2 2)))
* [misc]backup-simplify:  Simplify (+ 1 (- (* 1/4 (pow lambda2 2)))) into (- 1 (* 1/4 (pow lambda2 2)))
* [misc]backup-simplify:  Simplify (* (/ 1 lambda2) (- 1 (* 1/4 (pow lambda2 2)))) into (/ (- 1 (* 1/4 (pow lambda2 2))) lambda2)
* [misc]backup-simplify:  Simplify (* 1/2 (/ (- 1 (* 1/4 (pow lambda2 2))) lambda2)) into (* 1/2 (/ (- 1 (* 1/4 (pow lambda2 2))) lambda2))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (- 1 (* 1/4 (pow lambda2 2))) lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (* 1/4 (pow lambda2 2))) lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of (- 1 (* 1/4 (pow lambda2 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1 in lambda2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 1/4 (pow lambda2 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/4 in lambda2
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 4/3 (* 1/2 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2)))) into (* 2/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2)))
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 lambda1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1/2 (* lambda2 lambda1))) into (* 1/2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (* 1/2 (* lambda2 lambda1))) (* 0 0)) into (* 1/2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (+ (* 4/3 (* 1/2 (* lambda2 lambda1))) (* 0 0)) into (* 2/3 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (* 4/3 (* 1/2 (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2)))) into (* 2/3 (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2)))
* [misc]backup-simplify:  Simplify (+ (* 2/3 (* lambda2 lambda1)) (* 2/3 (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2)))) into (+ (* 2/3 (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2))) (* 2/3 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (* 2/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2))) (* 2/3 (* lambda2 lambda1)))) into (+ (* 2/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2))) (* 2/3 (* lambda2 lambda1))))
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (* 2 (* 1/2 (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2)))) into (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2))
* [misc]backup-simplify:  Simplify (* 1/3 (* 1/2 (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2)))) into (* 1/6 (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2)))
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1/2 (pow lambda2 2))) into (* 1/2 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (* 1/2 (pow lambda2 2))) (* 0 0)) into (* 1/2 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ (* 2/3 (* 1/2 (pow lambda2 2))) (* 0 0)) into (* 1/3 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (* 1/3 (* 1/2 (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2)))) into (* 1/6 (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2)))
* [misc]backup-simplify:  Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1/2 (pow lambda1 2))) into (* 1/2 (pow lambda1 2))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (* 1/2 (pow lambda1 2))) (* 0 0)) into (* 1/2 (pow lambda1 2))
* [misc]backup-simplify:  Simplify (+ (* 2/3 (* 1/2 (pow lambda1 2))) (* 0 0)) into (* 1/3 (pow lambda1 2))
* [misc]backup-simplify:  Simplify (+ (* 1/6 (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2))) (* 1/3 (pow lambda1 2))) into (+ (* 1/3 (pow lambda1 2)) (* 1/6 (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2))))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (pow lambda2 2)) (+ (* 1/3 (pow lambda1 2)) (* 1/6 (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2))))) into (+ (* 1/3 (pow lambda1 2)) (+ (* 1/3 (pow lambda2 2)) (* 1/6 (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2)))))
* [misc]backup-simplify:  Simplify (+ (* 1/6 (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (pow lambda1 2)) (+ (* 1/3 (pow lambda2 2)) (* 1/6 (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2)))))) into (+ (* 1/3 (pow lambda1 2)) (+ (* 1/3 (pow lambda2 2)) (+ (* 1/6 (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2))) (* 1/6 (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2))))))
* [misc]backup-simplify:  Simplify (+ (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2)) (+ (* 1/3 (pow lambda1 2)) (+ (* 1/3 (pow lambda2 2)) (+ (* 1/6 (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2))) (* 1/6 (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2))))))) into (+ (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2)) (+ (* 1/3 (pow lambda2 2)) (+ (* 1/3 (pow lambda1 2)) (+ (* 1/6 (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2))) (* 1/6 (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2)))))))
* [misc]backup-simplify:  Simplify (+ 2 (+ (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2)) (+ (* 1/3 (pow lambda2 2)) (+ (* 1/3 (pow lambda1 2)) (+ (* 1/6 (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2))) (* 1/6 (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2)))))))) into (+ (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2)) (+ (* 1/3 (pow lambda2 2)) (+ (* 1/3 (pow lambda1 2)) (+ (* 1/6 (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2))) (+ 2 (* 1/6 (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2))))))))
* [misc]backup-simplify:  Simplify (- (+ (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2)) (+ (* 1/3 (pow lambda2 2)) (+ (* 1/3 (pow lambda1 2)) (+ (* 1/6 (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2))) (+ 2 (* 1/6 (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2))))))))) into (- (+ (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2)) (+ (* 1/3 (pow lambda2 2)) (+ (* 1/3 (pow lambda1 2)) (+ (* 1/6 (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2))) (+ 2 (* 1/6 (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2)))))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 2/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2))) (* 2/3 (* lambda2 lambda1)))) (- (+ (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2)) (+ (* 1/3 (pow lambda2 2)) (+ (* 1/3 (pow lambda1 2)) (+ (* 1/6 (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2))) (+ 2 (* 1/6 (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2)))))))))) into (- (+ (* 2/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2))) (* 2/3 (* lambda2 lambda1)))) (+ (* 1/3 (pow lambda1 2)) (+ (* 1/3 (pow lambda2 2)) (+ 2 (+ (* 1/6 (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2))) (+ (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2)) (* 1/6 (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2)))))))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* (- (+ (* 2/3 (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2))) (* 2/3 (* lambda2 lambda1)))) (+ (* 1/3 (pow lambda1 2)) (+ (* 1/3 (pow lambda2 2)) (+ 2 (+ (* 1/6 (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2))) (+ (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2)) (* 1/6 (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2))))))))) (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))))) into (- (+ (* 2/3 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2)))) (+ (* 2/3 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (* lambda2 lambda1))) (* 2/3 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2)))))) (+ (* 2 (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))))) (+ (* 1/6 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (pow lambda1 2))) (+ (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2)))) (* 1/3 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (pow lambda2 2)))))))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- (+ (* 2/3 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2)))) (+ (* 2/3 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (* lambda2 lambda1))) (* 2/3 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2)))))) (+ (* 2 (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))))) (+ (* 1/6 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (pow lambda1 2))) (+ (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2))) (+ (* 1/6 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2)))) (* 1/3 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (pow lambda2 2)))))))))) (* 0 0)) into (- (+ (* 1/3 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (* lambda2 lambda1))) (+ (* 1/3 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2)))))) (+ (* 1/12 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2)))) (+ (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (+ (* 1/12 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (pow lambda1 2))) (+ (* 1/2 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2)))) (* 1/6 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (pow lambda2 2)))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 1/3 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (* lambda2 lambda1))) (+ (* 1/3 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2)))))) (+ (* 1/12 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2)))) (+ (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (+ (* 1/12 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (pow lambda1 2))) (+ (* 1/2 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2)))) (* 1/6 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (pow lambda2 2))))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (* 1/3 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (* lambda2 lambda1))) (+ (* 1/3 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2)))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (* lambda2 lambda1))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (* lambda2 lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (pow lambda1 2) (pow lambda2 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* lambda2 lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* lambda2 0) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow lambda2 2) 0) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow lambda2 2)) into (/ 1 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (pow lambda2 2))) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 1) (* 0 0)) into lambda2
* [misc]backup-simplify:  Simplify (+ (* 2 lambda2) (* 0 0)) into (* 2 lambda2)
* [misc]backup-simplify:  Simplify (- (* 2 lambda2)) into (- (* 2 lambda2))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 lambda2))) into (- (* 2 lambda2))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow lambda2 2)) (/ (- (* 2 lambda2)) (pow lambda2 2))))) into (* 2 (/ 1 (pow lambda2 3)))
* [misc]backup-simplify:  Simplify (/ (* 2 (/ 1 (pow lambda2 3))) (* 2 (sqrt (/ 1 (pow lambda2 2))))) into (/ 1 (pow lambda2 2))
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 1/3 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (pow lambda1 2) (pow lambda2 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* lambda2 lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* lambda2 0) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow lambda2 2) 0) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow lambda2 2)) into (/ 1 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (pow lambda2 2))) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 1) (* 0 0)) into lambda2
* [misc]backup-simplify:  Simplify (+ (* 2 lambda2) (* 0 0)) into (* 2 lambda2)
* [misc]backup-simplify:  Simplify (- (* 2 lambda2)) into (- (* 2 lambda2))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 lambda2))) into (- (* 2 lambda2))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow lambda2 2)) (/ (- (* 2 lambda2)) (pow lambda2 2))))) into (* 2 (/ 1 (pow lambda2 3)))
* [misc]backup-simplify:  Simplify (/ (* 2 (/ 1 (pow lambda2 3))) (* 2 (sqrt (/ 1 (pow lambda2 2))))) into (/ 1 (pow lambda2 2))
* [misc]taylor:  Taking taylor expansion of (/ (* lambda2 (pow lambda1 3)) (pow (- lambda1 lambda2) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (* lambda2 (pow lambda1 3)) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 3) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (- lambda2)) into (- lambda2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* lambda2 1) into lambda2
* [misc]backup-simplify:  Simplify (* (- lambda2) (- lambda2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (/ lambda2 (pow lambda2 2)) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (* 1/3 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (pow lambda1 2) (pow lambda2 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* lambda2 lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* lambda2 0) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow lambda2 2) 0) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow lambda2 2)) into (/ 1 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (pow lambda2 2))) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 1) (* 0 0)) into lambda2
* [misc]backup-simplify:  Simplify (+ (* 2 lambda2) (* 0 0)) into (* 2 lambda2)
* [misc]backup-simplify:  Simplify (- (* 2 lambda2)) into (- (* 2 lambda2))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 lambda2))) into (- (* 2 lambda2))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow lambda2 2)) (/ (- (* 2 lambda2)) (pow lambda2 2))))) into (* 2 (/ 1 (pow lambda2 3)))
* [misc]backup-simplify:  Simplify (/ (* 2 (/ 1 (pow lambda2 3))) (* 2 (sqrt (/ 1 (pow lambda2 2))))) into (/ 1 (pow lambda2 2))
* [misc]taylor:  Taking taylor expansion of (/ (* (pow lambda2 3) lambda1) (pow (- lambda1 lambda2) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow lambda2 3) lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of (pow lambda2 3) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (- lambda2)) into (- lambda2)
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* lambda2 (pow lambda2 2)) into (pow lambda2 3)
* [misc]backup-simplify:  Simplify (* (pow lambda2 3) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 (pow lambda2 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow lambda2 3) 1) (* 0 0)) into (pow lambda2 3)
* [misc]backup-simplify:  Simplify (* (- lambda2) (- lambda2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (/ (pow lambda2 3) (pow lambda2 2)) into lambda2
* [misc]taylor:  Taking taylor expansion of (+ (* 1/12 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2)))) (+ (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (+ (* 1/12 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (pow lambda1 2))) (+ (* 1/2 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2)))) (* 1/6 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (pow lambda2 2)))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/12 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/12 in lambda1
* [misc]backup-simplify:  Simplify 1/12 into 1/12
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (pow lambda1 2) (pow lambda2 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* lambda2 lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* lambda2 0) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow lambda2 2) 0) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow lambda2 2)) into (/ 1 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (pow lambda2 2))) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 1) (* 0 0)) into lambda2
* [misc]backup-simplify:  Simplify (+ (* 2 lambda2) (* 0 0)) into (* 2 lambda2)
* [misc]backup-simplify:  Simplify (- (* 2 lambda2)) into (- (* 2 lambda2))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 lambda2))) into (- (* 2 lambda2))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow lambda2 2)) (/ (- (* 2 lambda2)) (pow lambda2 2))))) into (* 2 (/ 1 (pow lambda2 3)))
* [misc]backup-simplify:  Simplify (/ (* 2 (/ 1 (pow lambda2 3))) (* 2 (sqrt (/ 1 (pow lambda2 2))))) into (/ 1 (pow lambda2 2))
* [misc]taylor:  Taking taylor expansion of (/ (pow lambda1 4) (pow (- lambda1 lambda2) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (pow lambda1 4) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (- lambda2)) into (- lambda2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (- lambda2) (- lambda2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow lambda2 2)) into (/ 1 (pow lambda2 2))
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (+ (* 1/12 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (pow lambda1 2))) (+ (* 1/2 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2)))) (* 1/6 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (pow lambda2 2))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (pow lambda1 2) (pow lambda2 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* lambda2 lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* lambda2 0) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow lambda2 2) 0) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow lambda2 2)) into (/ 1 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (pow lambda2 2))) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 1) (* 0 0)) into lambda2
* [misc]backup-simplify:  Simplify (+ (* 2 lambda2) (* 0 0)) into (* 2 lambda2)
* [misc]backup-simplify:  Simplify (- (* 2 lambda2)) into (- (* 2 lambda2))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 lambda2))) into (- (* 2 lambda2))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow lambda2 2)) (/ (- (* 2 lambda2)) (pow lambda2 2))))) into (* 2 (/ 1 (pow lambda2 3)))
* [misc]backup-simplify:  Simplify (/ (* 2 (/ 1 (pow lambda2 3))) (* 2 (sqrt (/ 1 (pow lambda2 2))))) into (/ 1 (pow lambda2 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/12 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (pow lambda1 2))) (+ (* 1/2 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2)))) (* 1/6 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (pow lambda2 2)))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/12 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/12 in lambda1
* [misc]backup-simplify:  Simplify 1/12 into 1/12
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (pow lambda1 2) (pow lambda2 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* lambda2 lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* lambda2 0) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow lambda2 2) 0) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow lambda2 2)) into (/ 1 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (pow lambda2 2))) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 1) (* 0 0)) into lambda2
* [misc]backup-simplify:  Simplify (+ (* 2 lambda2) (* 0 0)) into (* 2 lambda2)
* [misc]backup-simplify:  Simplify (- (* 2 lambda2)) into (- (* 2 lambda2))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 lambda2))) into (- (* 2 lambda2))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow lambda2 2)) (/ (- (* 2 lambda2)) (pow lambda2 2))))) into (* 2 (/ 1 (pow lambda2 3)))
* [misc]backup-simplify:  Simplify (/ (* 2 (/ 1 (pow lambda2 3))) (* 2 (sqrt (/ 1 (pow lambda2 2))))) into (/ 1 (pow lambda2 2))
* [misc]taylor:  Taking taylor expansion of (/ (pow lambda2 4) (pow (- lambda1 lambda2) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (pow lambda2 4) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (- lambda2)) into (- lambda2)
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* (pow lambda2 2) (pow lambda2 2)) into (pow lambda2 4)
* [misc]backup-simplify:  Simplify (* (- lambda2) (- lambda2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (/ (pow lambda2 4) (pow lambda2 2)) into (pow lambda2 2)
* [misc]taylor:  Taking taylor expansion of (+ (* 1/6 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (pow lambda1 2))) (+ (* 1/2 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2)))) (* 1/6 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (pow lambda2 2))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/6 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (pow lambda1 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/6 in lambda1
* [misc]backup-simplify:  Simplify 1/6 into 1/6
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (pow lambda1 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (pow lambda1 2) (pow lambda2 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* lambda2 lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* lambda2 0) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow lambda2 2) 0) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow lambda2 2)) into (/ 1 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (pow lambda2 2))) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 1) (* 0 0)) into lambda2
* [misc]backup-simplify:  Simplify (+ (* 2 lambda2) (* 0 0)) into (* 2 lambda2)
* [misc]backup-simplify:  Simplify (- (* 2 lambda2)) into (- (* 2 lambda2))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 lambda2))) into (- (* 2 lambda2))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow lambda2 2)) (/ (- (* 2 lambda2)) (pow lambda2 2))))) into (* 2 (/ 1 (pow lambda2 3)))
* [misc]backup-simplify:  Simplify (/ (* 2 (/ 1 (pow lambda2 3))) (* 2 (sqrt (/ 1 (pow lambda2 2))))) into (/ 1 (pow lambda2 2))
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2)))) (* 1/6 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (pow lambda2 2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (pow lambda1 2) (pow lambda2 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* lambda2 lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* lambda2 0) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow lambda2 2) 0) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow lambda2 2)) into (/ 1 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (pow lambda2 2))) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 1) (* 0 0)) into lambda2
* [misc]backup-simplify:  Simplify (+ (* 2 lambda2) (* 0 0)) into (* 2 lambda2)
* [misc]backup-simplify:  Simplify (- (* 2 lambda2)) into (- (* 2 lambda2))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 lambda2))) into (- (* 2 lambda2))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow lambda2 2)) (/ (- (* 2 lambda2)) (pow lambda2 2))))) into (* 2 (/ 1 (pow lambda2 3)))
* [misc]backup-simplify:  Simplify (/ (* 2 (/ 1 (pow lambda2 3))) (* 2 (sqrt (/ 1 (pow lambda2 2))))) into (/ 1 (pow lambda2 2))
* [misc]taylor:  Taking taylor expansion of (/ (* (pow lambda2 2) (pow lambda1 2)) (pow (- lambda1 lambda2) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (pow lambda2 2) (pow lambda1 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (- lambda2)) into (- lambda2)
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (pow lambda2 2) 1) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* (- lambda2) (- lambda2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (/ (pow lambda2 2) (pow lambda2 2)) into 1
* [misc]taylor:  Taking taylor expansion of (* 1/6 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (pow lambda2 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/6 in lambda1
* [misc]backup-simplify:  Simplify 1/6 into 1/6
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (pow lambda2 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (pow lambda1 2) (pow lambda2 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* lambda2 lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* lambda2 0) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow lambda2 2) 0) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow lambda2 2)) into (/ 1 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (pow lambda2 2))) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 1) (* 0 0)) into lambda2
* [misc]backup-simplify:  Simplify (+ (* 2 lambda2) (* 0 0)) into (* 2 lambda2)
* [misc]backup-simplify:  Simplify (- (* 2 lambda2)) into (- (* 2 lambda2))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 lambda2))) into (- (* 2 lambda2))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow lambda2 2)) (/ (- (* 2 lambda2)) (pow lambda2 2))))) into (* 2 (/ 1 (pow lambda2 3)))
* [misc]backup-simplify:  Simplify (/ (* 2 (/ 1 (pow lambda2 3))) (* 2 (sqrt (/ 1 (pow lambda2 2))))) into (/ 1 (pow lambda2 2))
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (* lambda2 0) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 lambda2) 0) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 lambda2) (pow lambda2 2)) into lambda2
* [misc]backup-simplify:  Simplify (* 1/12 lambda2) into (* 1/12 lambda2)
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* (/ 1 lambda2) (pow lambda2 2)) into lambda2
* [misc]backup-simplify:  Simplify (* 1/6 lambda2) into (* 1/6 lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (* 1/6 lambda2)) into (* 1/6 lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (* 1/6 lambda2)) into (* 1/6 lambda2)
* [misc]backup-simplify:  Simplify (+ (* 1/12 lambda2) (* 1/6 lambda2)) into (* 1/4 lambda2)
* [misc]backup-simplify:  Simplify (+ (/ 1 lambda2) (* 1/4 lambda2)) into (+ (* 1/4 lambda2) (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 1/4 lambda2) (/ 1 lambda2))) into (+ (/ 1 lambda2) (* 1/4 lambda2))
* [misc]backup-simplify:  Simplify (- (+ (/ 1 lambda2) (* 1/4 lambda2))) into (- (+ (* 1/4 lambda2) (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 lambda2) (/ 1 lambda2)))) into (- (+ (/ 1 lambda2) (* 1/4 lambda2)))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 lambda2) (* 1/4 lambda2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 lambda2) (* 1/4 lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* 1/4 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/4 in lambda2
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [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 (* 1/4 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 1) into 1
* [misc]backup-simplify:  Simplify (+ (* lambda1 0) (+ (* 0 0) (* 0 lambda1))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (+ (* 1 (- 1/8)) (+ (* 0 0) (* (- 1/8) 1))) into -1/4
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* -1/4 (pow lambda1 2)))) into (- (* 1/4 (pow lambda1 2)))
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (+ (* 0 0) (* 0 lambda2))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (+ (* 1 (- 1/8)) (+ (* 0 0) (* (- 1/8) 1))) into -1/4
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* -1/4 (pow lambda2 2)))) into (- (* 1/4 (pow lambda2 2)))
* [misc]backup-simplify:  Simplify (+ (- (* 1/4 (pow lambda1 2))) (- (* 1/4 (pow lambda2 2)))) into (- (+ (* 1/4 (pow lambda1 2)) (* 1/4 (pow lambda2 2))))
* [misc]backup-simplify:  Simplify (+ 1 (- (+ (* 1/4 (pow lambda1 2)) (* 1/4 (pow lambda2 2))))) into (- 1 (+ (* 1/4 (pow lambda1 2)) (* 1/4 (pow lambda2 2))))
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (+ (* 0 0) (* 0 lambda1))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (+ (* 1 (- 1/8)) (+ (* 0 0) (* (- 1/8) 1))) into -1/4
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* -1/4 (* lambda2 lambda1)))) into (- (* 1/4 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (+ (* 2 (- (* 1/4 (* lambda2 lambda1)))) (+ (* 0 0) (* 0 (* lambda2 lambda1)))) into (- (* 1/2 (* lambda2 lambda1)))
* [misc]backup-simplify:  Simplify (- (- (* 1/2 (* lambda2 lambda1)))) into (* 1/2 (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (+ (- 1 (+ (* 1/4 (pow lambda1 2)) (* 1/4 (pow lambda2 2)))) (* 1/2 (* lambda2 lambda1))) into (- (+ 1 (* 1/2 (* lambda2 lambda1))) (+ (* 1/4 (pow lambda1 2)) (* 1/4 (pow lambda2 2))))
* [misc]backup-simplify:  Simplify (/ (- (- (+ 1 (* 1/2 (* lambda2 lambda1))) (+ (* 1/4 (pow lambda1 2)) (* 1/4 (pow lambda2 2)))) (pow 0 2) (+)) (* 2 (sqrt (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))))) into (* 1/2 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (- (+ 1 (* 1/2 (* lambda2 lambda1))) (+ (* 1/4 (pow lambda1 2)) (* 1/4 (pow lambda2 2))))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (- (+ 1 (* 1/2 (* lambda2 lambda1))) (+ (* 1/4 (pow lambda1 2)) (* 1/4 (pow lambda2 2)))))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) (- (+ 1 (* 1/2 (* lambda2 lambda1))) (+ (* 1/4 (pow lambda1 2)) (* 1/4 (pow lambda2 2))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (pow lambda1 2) (pow lambda2 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (* 2 (* lambda2 lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow lambda2 2)) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* lambda2 0) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow lambda2 2) 0) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow lambda2 2)) into (/ 1 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (pow lambda2 2))) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* lambda2 1) (* 0 0)) into lambda2
* [misc]backup-simplify:  Simplify (+ (* 2 lambda2) (* 0 0)) into (* 2 lambda2)
* [misc]backup-simplify:  Simplify (- (* 2 lambda2)) into (- (* 2 lambda2))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 lambda2))) into (- (* 2 lambda2))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow lambda2 2)) (/ (- (* 2 lambda2)) (pow lambda2 2))))) into (* 2 (/ 1 (pow lambda2 3)))
* [misc]backup-simplify:  Simplify (/ (* 2 (/ 1 (pow lambda2 3))) (* 2 (sqrt (/ 1 (pow lambda2 2))))) into (/ 1 (pow lambda2 2))
* [misc]taylor:  Taking taylor expansion of (- (+ 1 (* 1/2 (* lambda2 lambda1))) (+ (* 1/4 (pow lambda1 2)) (* 1/4 (pow lambda2 2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ 1 (* 1/2 (* lambda2 lambda1))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1 in lambda1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* lambda2 lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (pow lambda1 2)) (* 1/4 (pow lambda2 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/4 (pow lambda1 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/4 in lambda1
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 1/4 (pow lambda2 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/4 in lambda1
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (* lambda2 0) into 0
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (* 1/4 (pow lambda2 2)) into (* 1/4 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (pow lambda2 2))) into (* 1/4 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (- (* 1/4 (pow lambda2 2))) into (- (* 1/4 (pow lambda2 2)))
* [misc]backup-simplify:  Simplify (+ 1 (- (* 1/4 (pow lambda2 2)))) into (- 1 (* 1/4 (pow lambda2 2)))
* [misc]backup-simplify:  Simplify (* (/ 1 lambda2) (- 1 (* 1/4 (pow lambda2 2)))) into (/ (- 1 (* 1/4 (pow lambda2 2))) lambda2)
* [misc]backup-simplify:  Simplify (* 1/2 (/ (- 1 (* 1/4 (pow lambda2 2))) lambda2)) into (* 1/2 (/ (- 1 (* 1/4 (pow lambda2 2))) lambda2))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (- 1 (* 1/4 (pow lambda2 2))) lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (* 1/4 (pow lambda2 2))) lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of (- 1 (* 1/4 (pow lambda2 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1 in lambda2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 1/4 (pow lambda2 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/4 in lambda2
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (+ (* 0 0) (* 0 lambda2))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* lambda2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 lambda2) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow -1 2) (+)) (* 2 lambda2)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (* lambda2 (* 1 (* 1 1)))) (* -1 (* 1 (* lambda1 (* 1 1))))) into (- lambda2 lambda1)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))) (* (* (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))))) in (phi1 phi2 lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))) (* (* (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))) (* (* (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (* (* (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in lambda2
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
* [misc]backup-simplify:  Simplify (* (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in lambda2
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
* [misc]backup-simplify:  Simplify (* (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in lambda2
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
* [misc]backup-simplify:  Simplify (* (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))))
* [misc]backup-simplify:  Simplify (- (/ 1 phi2)) into (- (/ 1 phi2))
* [misc]backup-simplify:  Simplify (+ (/ 1 phi1) (- (/ 1 phi2))) into (- (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (- (/ 1 phi2)) into (- (/ 1 phi2))
* [misc]backup-simplify:  Simplify (+ (/ 1 phi1) (- (/ 1 phi2))) into (- (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))) into (pow (- (/ 1 phi1) (/ 1 phi2)) 2)
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))))) into (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 2)
* [misc]backup-simplify:  Simplify (* (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 2) (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))))) into (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 3)
* [misc]backup-simplify:  Simplify (+ (pow (- (/ 1 phi1) (/ 1 phi2)) 2) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 3)) into (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 3))) (* 2 (/ 1 (* phi1 phi2))))
* [misc]backup-simplify:  Simplify (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 3))) (* 2 (/ 1 (* phi1 phi2))))) into (sqrt (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 phi1) (/ 1 phi2)) 0) (* 0 (- (/ 1 phi1) (/ 1 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 lambda1) 0) into (/ 1 lambda1)
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (/ 1 lambda1) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1)
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 lambda1) 0) into (/ 1 lambda1)
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (/ 1 lambda1) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1)
* [misc]backup-simplify:  Simplify (+ (* (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1)) (* (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1) (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into (/ -2 lambda1)
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ -2 lambda1)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) into (- (* 2/3 (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda1))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) lambda1))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 lambda1) 0) into (/ 1 lambda1)
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (/ 1 lambda1) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1)
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 lambda1) 0) into (/ 1 lambda1)
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (/ 1 lambda1) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1)
* [misc]backup-simplify:  Simplify (+ (* (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1)) (* (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1) (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into (/ -2 lambda1)
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ -2 lambda1)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) into (- (* 2/3 (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda1))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) lambda1))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 lambda1) 0) into (/ 1 lambda1)
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (/ 1 lambda1) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1)
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 lambda1) 0) into (/ 1 lambda1)
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (/ 1 lambda1) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1)
* [misc]backup-simplify:  Simplify (+ (* (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1)) (* (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1) (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into (/ -2 lambda1)
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ -2 lambda1)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) into (- (* 2/3 (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda1))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) lambda1))
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) lambda1))) (* (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) lambda1)) (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))))) into (- (* 4/3 (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 2) lambda1)))
* [misc]backup-simplify:  Simplify (+ (* (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 2) (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) lambda1))) (* (- (* 4/3 (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 2) lambda1))) (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))))) into (- (* 2 (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 3) lambda1)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 3) lambda1)))) into (- (* 2 (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 3) lambda1)))
* [misc]backup-simplify:  Simplify (/ (- (* 2 (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 3) lambda1))) (* 2 (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 3))) (* 2 (/ 1 (* phi1 phi2))))))) into (* -1 (* (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 3) lambda1) (sqrt (/ 1 (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))) (* (* (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))) (* (* (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (* (* (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in lambda1
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in lambda1
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in lambda1
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]backup-simplify:  Simplify (- (/ 1 phi2)) into (- (/ 1 phi2))
* [misc]backup-simplify:  Simplify (+ (/ 1 phi1) (- (/ 1 phi2))) into (- (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (- (/ 1 phi2)) into (- (/ 1 phi2))
* [misc]backup-simplify:  Simplify (+ (/ 1 phi1) (- (/ 1 phi2))) into (- (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))) into (pow (- (/ 1 phi1) (/ 1 phi2)) 2)
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 2)
* [misc]backup-simplify:  Simplify (* (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 2) (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 3)
* [misc]backup-simplify:  Simplify (+ (pow (- (/ 1 phi1) (/ 1 phi2)) 2) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 3)) into (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (* 2 (/ 1 (* phi1 phi2))))
* [misc]backup-simplify:  Simplify (sqrt (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (* 2 (/ 1 (* phi1 phi2))))) into (sqrt (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (* 2 (/ 1 (* phi1 phi2)))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 phi1) (/ 1 phi2)) 0) (* 0 (- (/ 1 phi1) (/ 1 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2))
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2))) (* (- (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into (/ -2 lambda2)
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2))
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2))) (* (- (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into (/ -2 lambda2)
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2))
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2))) (* (- (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into (/ -2 lambda2)
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2))
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2))) (* (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))))) into (- (* 4/3 (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 2) lambda2)))
* [misc]backup-simplify:  Simplify (+ (* (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 2) (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2))) (* (- (* 4/3 (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 2) lambda2))) (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))))) into (- (* 2 (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 3) lambda2)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 3) lambda2)))) into (- (* 2 (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 3) lambda2)))
* [misc]backup-simplify:  Simplify (/ (- (* 2 (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 3) lambda2))) (* 2 (sqrt (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (* 2 (/ 1 (* phi1 phi2))))))) into (* -1 (* (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 3) lambda2) (sqrt (/ 1 (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (* 2 (/ 1 (* phi1 phi2))))))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))) (* (* (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))) (* (* (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (* (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) in phi2
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in phi2
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/3 in phi2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (* (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2)))) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))
* [misc]backup-simplify:  Simplify (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) into (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in phi2
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/3 in phi2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (* (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2)))) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))
* [misc]backup-simplify:  Simplify (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) into (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in phi2
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/3 in phi2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (* (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2)))) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))
* [misc]backup-simplify:  Simplify (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) into (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3)
* [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 (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 phi1) 0) into (/ 1 phi1)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 phi1) 0) into (/ 1 phi1)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ 1 phi1)) (* (/ 1 phi1) -1)) into (- (* 2 (/ 1 phi1)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 phi1))) 0) into (- (* 2 (/ 1 phi1)))
* [misc]backup-simplify:  Simplify (/ (- (* 2 (/ 1 phi1))) (* 2 (sqrt 1))) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))) (* (* (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))) (* (* (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (* (* (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in phi1
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (* (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2)))) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))
* [misc]backup-simplify:  Simplify (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) into (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in phi1
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (* (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2)))) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))
* [misc]backup-simplify:  Simplify (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) into (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in phi1
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (* (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2)))) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))
* [misc]backup-simplify:  Simplify (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) into (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 phi2)) into (- (/ 1 phi2))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 phi2))) into (- (/ 1 phi2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 phi2)) into (- (/ 1 phi2))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 phi2))) into (- (/ 1 phi2))
* [misc]backup-simplify:  Simplify (+ (* 1 (- (/ 1 phi2))) (* (- (/ 1 phi2)) 1)) into (- (* 2 (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 phi2))) 0) into (- (* 2 (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (/ (- (* 2 (/ 1 phi2))) (* 2 (sqrt 1))) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))) (* (* (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))) (* (* (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (* (* (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in phi1
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (* (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2)))) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))
* [misc]backup-simplify:  Simplify (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) into (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in phi1
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (* (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2)))) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))
* [misc]backup-simplify:  Simplify (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) into (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in phi1
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (* (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2)))) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))
* [misc]backup-simplify:  Simplify (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) into (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 phi2)) into (- (/ 1 phi2))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 phi2))) into (- (/ 1 phi2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 phi2)) into (- (/ 1 phi2))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 phi2))) into (- (/ 1 phi2))
* [misc]backup-simplify:  Simplify (+ (* 1 (- (/ 1 phi2))) (* (- (/ 1 phi2)) 1)) into (- (* 2 (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 phi2))) 0) into (- (* 2 (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (/ (- (* 2 (/ 1 phi2))) (* 2 (sqrt 1))) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of 1 in phi2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ -1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of -1 in phi2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 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 lambda1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of -1 in lambda2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of 1 in lambda1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in lambda2
* [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 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (/ 1 phi2)) (- (/ 1 phi2))) (* 0 1))) into (/ 1 (pow phi2 2))
* [misc]backup-simplify:  Simplify (* (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3)) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 4) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 4)) 1/3)
* [misc]backup-simplify:  Simplify (* (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 4) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 4)) 1/3) (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3)) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow phi2 2)) (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) into (- (+ (/ 1 (pow phi2 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))
* [misc]backup-simplify:  Simplify (/ (- (- (+ (/ 1 (pow phi2 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) (pow (/ -1 phi2) 2) (+)) (* 2 1)) into (* 1/2 (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* lambda2 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 phi1)))))) (* -1 (* 1 (* 1 (* (/ 1 (/ 1 phi2)) 1))))) into (- phi1 phi2)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))) (* (* (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))))) in (phi1 phi2 lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))) (* (* (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))) (* (* (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (* (* (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in lambda2
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ -1 phi2) (/ -1 phi1)) into (- (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 phi1) (/ 1 phi2))) 2) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ -1 phi2) (/ -1 phi1)) into (- (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 phi1) (/ 1 phi2))) 2) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in lambda2
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ -1 phi2) (/ -1 phi1)) into (- (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 phi1) (/ 1 phi2))) 2) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ -1 phi2) (/ -1 phi1)) into (- (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 phi1) (/ 1 phi2))) 2) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in lambda2
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ -1 phi2) (/ -1 phi1)) into (- (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 phi1) (/ 1 phi2))) 2) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ -1 phi2) (/ -1 phi1)) into (- (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 phi1) (/ 1 phi2))) 2) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))))
* [misc]backup-simplify:  Simplify (- (/ -1 phi2)) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ (/ -1 phi1) (/ 1 phi2)) into (- (/ 1 phi2) (/ 1 phi1))
* [misc]backup-simplify:  Simplify (- (/ -1 phi2)) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ (/ -1 phi1) (/ 1 phi2)) into (- (/ 1 phi2) (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (- (/ 1 phi2) (/ 1 phi1)) (- (/ 1 phi2) (/ 1 phi1))) into (pow (- (/ 1 phi2) (/ 1 phi1)) 2)
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))))) into (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 2)
* [misc]backup-simplify:  Simplify (* (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 2) (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))))) into (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 3)
* [misc]backup-simplify:  Simplify (+ (pow (- (/ 1 phi2) (/ 1 phi1)) 2) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 3)) into (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 3))) (* 2 (/ 1 (* phi1 phi2))))
* [misc]backup-simplify:  Simplify (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 3))) (* 2 (/ 1 (* phi1 phi2))))) into (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 3))) (* 2 (/ 1 (* phi1 phi2)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) 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 (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 phi2) (/ 1 phi1)) 0) (* 0 (- (/ 1 phi2) (/ 1 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1 lambda1) 0) into (- (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1 lambda1) 0) into (- (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1))
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1))) (* (- (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1)) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into (/ -2 lambda1)
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ -2 lambda1)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) into (- (* 2/3 (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda1))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) lambda1))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1 lambda1) 0) into (- (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1 lambda1) 0) into (- (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1))
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1))) (* (- (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1)) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into (/ -2 lambda1)
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ -2 lambda1)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) into (- (* 2/3 (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda1))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) lambda1))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1 lambda1) 0) into (- (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1 lambda1) 0) into (- (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1))
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1))) (* (- (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1)) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into (/ -2 lambda1)
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ -2 lambda1)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) into (- (* 2/3 (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda1))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) lambda1))
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) lambda1))) (* (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) lambda1)) (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))))) into (- (* 4/3 (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 2) lambda1)))
* [misc]backup-simplify:  Simplify (+ (* (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 2) (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) lambda1))) (* (- (* 4/3 (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 2) lambda1))) (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))))) into (- (* 2 (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 3) lambda1)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 3) lambda1)))) into (- (* 2 (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 3) lambda1)))
* [misc]backup-simplify:  Simplify (/ (- (* 2 (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 3) lambda1))) (* 2 (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 3))) (* 2 (/ 1 (* phi1 phi2))))))) into (* -1 (* (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 3) lambda1) (sqrt (/ 1 (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 3))) (* 2 (/ 1 (* phi1 phi2))))))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))) (* (* (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))) (* (* (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (* (* (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in lambda1
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ -1 phi2) (/ -1 phi1)) into (- (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 phi1) (/ 1 phi2))) 2) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ -1 phi2) (/ -1 phi1)) into (- (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 phi1) (/ 1 phi2))) 2) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
* [misc]backup-simplify:  Simplify (* (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in lambda1
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ -1 phi2) (/ -1 phi1)) into (- (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 phi1) (/ 1 phi2))) 2) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ -1 phi2) (/ -1 phi1)) into (- (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 phi1) (/ 1 phi2))) 2) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
* [misc]backup-simplify:  Simplify (* (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in lambda1
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ -1 phi2) (/ -1 phi1)) into (- (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 phi1) (/ 1 phi2))) 2) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ -1 phi2) (/ -1 phi1)) into (- (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 phi1) (/ 1 phi2))) 2) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
* [misc]backup-simplify:  Simplify (* (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]backup-simplify:  Simplify (- (/ -1 phi2)) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ (/ -1 phi1) (/ 1 phi2)) into (- (/ 1 phi2) (/ 1 phi1))
* [misc]backup-simplify:  Simplify (- (/ -1 phi2)) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ (/ -1 phi1) (/ 1 phi2)) into (- (/ 1 phi2) (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (- (/ 1 phi2) (/ 1 phi1)) (- (/ 1 phi2) (/ 1 phi1))) into (pow (- (/ 1 phi2) (/ 1 phi1)) 2)
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 2)
* [misc]backup-simplify:  Simplify (* (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 2) (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 3)
* [misc]backup-simplify:  Simplify (+ (pow (- (/ 1 phi2) (/ 1 phi1)) 2) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 3)) into (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 3))) (* 2 (/ 1 (* phi1 phi2))))
* [misc]backup-simplify:  Simplify (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 3))) (* 2 (/ 1 (* phi1 phi2))))) into (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 3))) (* 2 (/ 1 (* phi1 phi2)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) 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 (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 phi2) (/ 1 phi1)) 0) (* 0 (- (/ 1 phi2) (/ 1 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ -1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (/ 1 lambda2) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ -1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (/ 1 lambda2) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)
* [misc]backup-simplify:  Simplify (+ (* (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) (* (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2) (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into (/ -2 lambda2)
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ -1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (/ 1 lambda2) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ -1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (/ 1 lambda2) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)
* [misc]backup-simplify:  Simplify (+ (* (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) (* (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2) (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into (/ -2 lambda2)
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ -1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (/ 1 lambda2) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ -1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (/ 1 lambda2) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)
* [misc]backup-simplify:  Simplify (+ (* (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) (* (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2) (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into (/ -2 lambda2)
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2))
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2))) (* (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))))) into (- (* 4/3 (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 2) lambda2)))
* [misc]backup-simplify:  Simplify (+ (* (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 2) (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2))) (* (- (* 4/3 (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 2) lambda2))) (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))))) into (- (* 2 (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 3) lambda2)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 3) lambda2)))) into (- (* 2 (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 3) lambda2)))
* [misc]backup-simplify:  Simplify (/ (- (* 2 (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 3) lambda2))) (* 2 (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 3))) (* 2 (/ 1 (* phi1 phi2))))))) into (* -1 (* (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 3) lambda2) (sqrt (/ 1 (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 3))) (* 2 (/ 1 (* phi1 phi2))))))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))) (* (* (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))) (* (* (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- phi1)) (/ 1 (- phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- phi1)) (/ 1 (- phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (* (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) in phi2
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in phi2
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/3 in phi2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (- (/ -1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (- (/ -1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (* (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))
* [misc]backup-simplify:  Simplify (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) into (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in phi2
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/3 in phi2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (- (/ -1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (- (/ -1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (* (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))
* [misc]backup-simplify:  Simplify (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) into (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in phi2
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/3 in phi2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (- (/ -1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (- (/ -1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (* (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))
* [misc]backup-simplify:  Simplify (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) into (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3)
* [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 (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1 phi1) 0) into (- (/ 1 phi1))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1 phi1) 0) into (- (/ 1 phi1))
* [misc]backup-simplify:  Simplify (+ (* 1 (- (/ 1 phi1))) (* (- (/ 1 phi1)) 1)) into (- (* 2 (/ 1 phi1)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 phi1))) 0) into (- (* 2 (/ 1 phi1)))
* [misc]backup-simplify:  Simplify (/ (- (* 2 (/ 1 phi1))) (* 2 (sqrt 1))) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))) (* (* (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))) (* (* (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- phi1)) (/ 1 (- phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- phi1)) (/ 1 (- phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (* (* (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in phi1
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (- (/ -1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (- (/ -1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (* (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))
* [misc]backup-simplify:  Simplify (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) into (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in phi1
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (- (/ -1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (- (/ -1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (* (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))
* [misc]backup-simplify:  Simplify (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) into (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in phi1
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (- (/ -1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (- (/ -1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (* (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))
* [misc]backup-simplify:  Simplify (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) into (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ -1 phi2)) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 phi2)) into (/ 1 phi2)
* [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 phi2)) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 phi2)) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ 1 phi2)) (* (/ 1 phi2) -1)) into (- (* 2 (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 phi2))) 0) into (- (* 2 (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (/ (- (* 2 (/ 1 phi2))) (* 2 (sqrt 1))) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))) (* (* (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))) (* (* (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- phi1)) (/ 1 (- phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- phi1)) (/ 1 (- phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (* (* (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in phi1
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (- (/ -1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (- (/ -1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (* (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))
* [misc]backup-simplify:  Simplify (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) into (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in phi1
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (- (/ -1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (- (/ -1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (* (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))
* [misc]backup-simplify:  Simplify (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) into (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in phi1
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (- (/ -1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (- (/ -1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (* (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))
* [misc]backup-simplify:  Simplify (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) into (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ -1 phi2)) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 phi2)) into (/ 1 phi2)
* [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 phi2)) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 phi2)) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ 1 phi2)) (* (/ 1 phi2) -1)) into (- (* 2 (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 phi2))) 0) into (- (* 2 (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (/ (- (* 2 (/ 1 phi2))) (* 2 (sqrt 1))) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of 1 in phi2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ -1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of -1 in phi2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 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 lambda1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of -1 in lambda2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of 1 in lambda1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in lambda2
* [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 (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (/ 1 phi2) (/ 1 phi2)) (* 0 -1))) into (/ 1 (pow phi2 2))
* [misc]backup-simplify:  Simplify (* (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3)) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 4) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 4)) 1/3)
* [misc]backup-simplify:  Simplify (* (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 4) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 4)) 1/3) (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3)) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow phi2 2)) (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (- (+ (/ 1 (pow phi2 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))
* [misc]backup-simplify:  Simplify (/ (- (- (+ (/ 1 (pow phi2 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) (pow (/ -1 phi2) 2) (+)) (* 2 1)) into (* 1/2 (- (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (- (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of -1/2 in phi2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (pow lambda1 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (* lambda1 lambda1) into (pow lambda1 2)
* [misc]backup-simplify:  Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2))
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of -1/2 in phi2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (* lambda2 lambda2) into (pow lambda2 2)
* [misc]backup-simplify:  Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of -1/2 in phi2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (* lambda1 lambda2) into (* lambda2 lambda1)
* [misc]backup-simplify:  Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 (- phi1))))))) (* -1 (* 1 (* 1 (* (/ 1 (/ 1 (- phi2))) 1))))) into (- phi2 phi1)
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 1 2 2)
* [misc]approximate:  Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in (lambda1 lambda2 phi2 phi1) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in phi1
* [misc]taylor:  Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 0) into phi2
* [misc]backup-simplify:  Simplify (/ phi2 2) into (* 1/2 phi2)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 0) into phi2
* [misc]backup-simplify:  Simplify (/ phi2 2) into (* 1/2 phi2)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi2))) into (* (cos (* 1/2 phi2)) (- lambda1 lambda2))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi2))) into (* (cos (* 1/2 phi2)) (- lambda1 lambda2))
* [misc]backup-simplify:  Simplify (* (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) into (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))
* [misc]backup-simplify:  Simplify (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) into (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))) into (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in phi2
* [misc]taylor:  Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/3 in phi2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 phi1) into phi1
* [misc]backup-simplify:  Simplify (/ phi1 2) into (* 1/2 phi1)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1))
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 phi1) into phi1
* [misc]backup-simplify:  Simplify (/ phi1 2) into (* 1/2 phi1)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi1))) into (* (- lambda1 lambda2) (cos (* 1/2 phi1)))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi1))) into (* (- lambda1 lambda2) (cos (* 1/2 phi1)))
* [misc]backup-simplify:  Simplify (* (* (- lambda1 lambda2) (cos (* 1/2 phi1))) (* (- lambda1 lambda2) (cos (* 1/2 phi1)))) into (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))
* [misc]backup-simplify:  Simplify (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))) into (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)))) into (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))))) into (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in lambda2
* [misc]taylor:  Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 phi1) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 phi1) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ lambda1 0) into lambda1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) into (* (cos (* 1/2 (+ phi1 phi2))) lambda1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ lambda1 0) into lambda1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) into (* (cos (* 1/2 (+ phi1 phi2))) lambda1)
* [misc]backup-simplify:  Simplify (* (* (cos (* 1/2 (+ phi1 phi2))) lambda1) (* (cos (* 1/2 (+ phi1 phi2))) lambda1)) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))
* [misc]backup-simplify:  Simplify (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))) into (log (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))))) into (pow (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in lambda1
* [misc]taylor:  Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 phi1) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 phi1) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (- lambda2)) into (- lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (- lambda2)) into (- lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
* [misc]backup-simplify:  Simplify (* (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))
* [misc]backup-simplify:  Simplify (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in lambda1
* [misc]taylor:  Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 phi1) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 phi1) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (- lambda2)) into (- lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (- lambda2)) into (- lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
* [misc]backup-simplify:  Simplify (* (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))
* [misc]backup-simplify:  Simplify (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in lambda2
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ phi1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (+ phi1 phi2) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
* [misc]backup-simplify:  Simplify (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))
* [misc]backup-simplify:  Simplify (+ (* (- -2) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))) into (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/3 in phi2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))) in phi2
* [misc]taylor:  Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ phi1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ phi1 0) into phi1
* [misc]backup-simplify:  Simplify (* 1/2 phi1) into (* 1/2 phi1)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* 1/2 phi1)) 2)) into (log (pow (cos (* 1/2 phi1)) 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (log lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (log lambda2) into (log lambda2)
* [misc]backup-simplify:  Simplify (* 2 (log lambda2)) into (* 2 (log lambda2))
* [misc]backup-simplify:  Simplify (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2))) into (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2)))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2)))) into (* 1/3 (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2)))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2)))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (log (pow (cos (* 1/2 phi1)) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi1)) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of 1/2 in phi1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]taylor:  Taking taylor expansion of (* 2 (log lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (log lambda2) into (log lambda2)
* [misc]backup-simplify:  Simplify (* 2 (log lambda2)) into (* 2 (log lambda2))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (log lambda2))) into (* 2 (log lambda2))
* [misc]backup-simplify:  Simplify (* 1/3 (* 2 (log lambda2))) into (* 2/3 (log lambda2))
* [misc]backup-simplify:  Simplify (exp (* 2/3 (log lambda2))) into (pow lambda2 2/3)
* [misc]backup-simplify:  Simplify (pow lambda2 2/3) into (pow lambda2 2/3)
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (- lambda2) 0) (* 1 (cos (* 1/2 (+ phi1 phi2))))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (- lambda2) 0) (* 1 (cos (* 1/2 (+ phi1 phi2))))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (+ (* (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) (cos (* 1/2 (+ phi1 phi2)))) (* (cos (* 1/2 (+ phi1 phi2))) (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 1)) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)))) 1) into (/ -2 lambda2)
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (- (* 2/3 (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3))
* [misc]taylor:  Taking taylor expansion of (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3)) in lambda2
* [misc]taylor:  Taking taylor expansion of -2/3 in lambda2
* [misc]backup-simplify:  Simplify -2/3 into -2/3
* [misc]taylor:  Taking taylor expansion of (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3) in lambda2
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ phi1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (+ phi1 phi2) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
* [misc]backup-simplify:  Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))))
* [misc]backup-simplify:  Simplify (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))))) into (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))))
* [misc]taylor:  Taking taylor expansion of (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))))) in phi2
* [misc]taylor:  Taking taylor expansion of -2/3 in phi2
* [misc]backup-simplify:  Simplify -2/3 into -2/3
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/3 in phi2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ phi1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ phi1 0) into phi1
* [misc]backup-simplify:  Simplify (* 1/2 phi1) into (* 1/2 phi1)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* 1/2 phi1)) 2)) into (log (pow (cos (* 1/2 phi1)) 2))
* [misc]taylor:  Taking taylor expansion of (log lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (log lambda2) into (log lambda2)
* [misc]backup-simplify:  Simplify (- (log lambda2)) into (- (log lambda2))
* [misc]backup-simplify:  Simplify (+ (log (pow (cos (* 1/2 phi1)) 2)) (- (log lambda2))) into (- (log (pow (cos (* 1/2 phi1)) 2)) (log lambda2))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (log lambda2))) into (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (log lambda2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (log lambda2)))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (log lambda2))))
* [misc]backup-simplify:  Simplify (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (log lambda2))))) into (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (log lambda2)))))
* [misc]taylor:  Taking taylor expansion of (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (log lambda2))))) in phi1
* [misc]taylor:  Taking taylor expansion of -2/3 in phi1
* [misc]backup-simplify:  Simplify -2/3 into -2/3
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (log lambda2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (log lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (pow (cos (* 1/2 phi1)) 2)) (log lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (log (pow (cos (* 1/2 phi1)) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi1)) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of 1/2 in phi1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]taylor:  Taking taylor expansion of (log lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (log lambda2) into (log lambda2)
* [misc]backup-simplify:  Simplify (- (log lambda2)) into (- (log lambda2))
* [misc]backup-simplify:  Simplify (+ 0 (- (log lambda2))) into (- (log lambda2))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log lambda2))) into (* -1/3 (log lambda2))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log lambda2))) into (pow lambda2 -1/3)
* [misc]backup-simplify:  Simplify (* -2/3 (pow lambda2 -1/3)) into (* -2/3 (pow (/ 1 lambda2) 1/3))
* [misc]backup-simplify:  Simplify (* -2/3 (pow (/ 1 lambda2) 1/3)) into (* -2/3 (pow (/ 1 lambda2) 1/3))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -2) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 phi1)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1)))
* [misc]backup-simplify:  Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1))))
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 phi1)) (- (* 1/2 (sin (* 1/2 phi1))))) (* (- (* 1/2 (sin (* 1/2 phi1)))) (cos (* 1/2 phi1)))) into (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) 1)) (pow (pow (cos (* 1/2 phi1)) 2) 1)))) 1) into (* -1 (/ (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) 0) into (- (/ (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (- (/ (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) (* 0 (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2))))) into (- (* 1/3 (/ (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2))))) (+ (* (/ (pow (- (* 1/3 (/ (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) 1) 1)))) into (* -1/3 (/ (* (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2))))) (sin (* 1/2 phi1))) (cos (* 1/2 phi1))))
* [misc]taylor:  Taking taylor expansion of (* -1/3 (/ (* (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2))))) (sin (* 1/2 phi1))) (cos (* 1/2 phi1)))) in phi1
* [misc]taylor:  Taking taylor expansion of -1/3 in phi1
* [misc]backup-simplify:  Simplify -1/3 into -1/3
* [misc]taylor:  Taking taylor expansion of (/ (* (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2))))) (sin (* 1/2 phi1))) (cos (* 1/2 phi1))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2))))) (sin (* 1/2 phi1))) in phi1
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2)))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (log (pow (cos (* 1/2 phi1)) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi1)) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of 1/2 in phi1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]taylor:  Taking taylor expansion of (* 2 (log lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (log lambda2) into (log lambda2)
* [misc]backup-simplify:  Simplify (* 2 (log lambda2)) into (* 2 (log lambda2))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (log lambda2))) into (* 2 (log lambda2))
* [misc]backup-simplify:  Simplify (* 1/3 (* 2 (log lambda2))) into (* 2/3 (log lambda2))
* [misc]backup-simplify:  Simplify (exp (* 2/3 (log lambda2))) into (pow lambda2 2/3)
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of 1/2 in phi1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of 1/2 in phi1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (* (pow lambda2 2/3) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (* 2 (log lambda2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2/3 (log lambda2))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow lambda2 2/3) 1/2) (* 0 0)) into (* 1/2 (pow (pow lambda2 2) 1/3))
* [misc]backup-simplify:  Simplify (/ (* 1/2 (pow (pow lambda2 2) 1/3)) 1) into (* 1/2 (pow (pow lambda2 2) 1/3))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (* 2 (log lambda2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2/3 (log lambda2))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- lambda2) 0) (+ (* 1 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- lambda2) 0) (+ (* 1 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) 0) (+ (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) (* 0 (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 2)) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)))) 2) into (/ -1 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))))) into (- (* 1/3 (/ 1 (pow lambda2 2))))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow lambda2 2)))) 1) 1)))) into (* -1/9 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3))
* [misc]taylor:  Taking taylor expansion of (* -1/9 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3)) in lambda2
* [misc]taylor:  Taking taylor expansion of -1/9 in lambda2
* [misc]backup-simplify:  Simplify -1/9 into -1/9
* [misc]taylor:  Taking taylor expansion of (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3) in lambda2
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) in lambda2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ phi1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (+ phi1 phi2) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]taylor:  Taking taylor expansion of (pow lambda2 4) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))
* [misc]backup-simplify:  Simplify (+ (* (- 4) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))))
* [misc]backup-simplify:  Simplify (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))))) into (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))))
* [misc]taylor:  Taking taylor expansion of (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))))) in phi2
* [misc]taylor:  Taking taylor expansion of -1/9 in phi2
* [misc]backup-simplify:  Simplify -1/9 into -1/9
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/3 in phi2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))) in phi2
* [misc]taylor:  Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ phi1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ phi1 0) into phi1
* [misc]backup-simplify:  Simplify (* 1/2 phi1) into (* 1/2 phi1)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* 1/2 phi1)) 2)) into (log (pow (cos (* 1/2 phi1)) 2))
* [misc]taylor:  Taking taylor expansion of (* 4 (log lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of 4 in phi2
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (log lambda2) into (log lambda2)
* [misc]backup-simplify:  Simplify (* 4 (log lambda2)) into (* 4 (log lambda2))
* [misc]backup-simplify:  Simplify (- (* 4 (log lambda2))) into (- (* 4 (log lambda2)))
* [misc]backup-simplify:  Simplify (+ (log (pow (cos (* 1/2 phi1)) 2)) (- (* 4 (log lambda2)))) into (- (log (pow (cos (* 1/2 phi1)) 2)) (* 4 (log lambda2)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (* 4 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (* 4 (log lambda2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (* 4 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (* 4 (log lambda2)))))
* [misc]backup-simplify:  Simplify (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (* 4 (log lambda2)))))) into (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (* 4 (log lambda2))))))
* [misc]taylor:  Taking taylor expansion of (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (* 4 (log lambda2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of -1/9 in phi1
* [misc]backup-simplify:  Simplify -1/9 into -1/9
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (* 4 (log lambda2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (* 4 (log lambda2)))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (pow (cos (* 1/2 phi1)) 2)) (* 4 (log lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (log (pow (cos (* 1/2 phi1)) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi1)) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of 1/2 in phi1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]taylor:  Taking taylor expansion of (* 4 (log lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of 4 in phi1
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (log lambda2) into (log lambda2)
* [misc]backup-simplify:  Simplify (* 4 (log lambda2)) into (* 4 (log lambda2))
* [misc]backup-simplify:  Simplify (- (* 4 (log lambda2))) into (- (* 4 (log lambda2)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 4 (log lambda2)))) into (- (* 4 (log lambda2)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (* 4 (log lambda2)))) into (* -4/3 (log lambda2))
* [misc]backup-simplify:  Simplify (exp (* -4/3 (log lambda2))) into (pow lambda2 -4/3)
* [misc]backup-simplify:  Simplify (* -1/9 (pow lambda2 -4/3)) into (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3))
* [misc]backup-simplify:  Simplify (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) into (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3))
* [misc]backup-simplify:  Simplify (+ (* (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) (pow (* 1 (* 1 (* 1 lambda1))) 2)) (+ (* (* -2/3 (pow (/ 1 lambda2) 1/3)) (* 1 (* 1 (* 1 lambda1)))) (pow lambda2 2/3))) into (- (pow lambda2 2/3) (+ (* 2/3 (* (pow (/ 1 lambda2) 1/3) lambda1)) (* 1/9 (* (pow (/ 1 (pow lambda2 4)) 1/3) (pow lambda1 2)))))
* [misc]approximate:  Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in (lambda1 lambda2 phi2 phi1) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in phi1
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (* (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2)))) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))
* [misc]backup-simplify:  Simplify (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) into (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in phi2
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/3 in phi2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (* (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2)))) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))
* [misc]backup-simplify:  Simplify (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) into (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in lambda2
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
* [misc]backup-simplify:  Simplify (* (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in lambda1
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in lambda1
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2
* [misc]taylor:  Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (log lambda1)) in lambda2
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (log lambda1) into (log lambda1)
* [misc]backup-simplify:  Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/3 in phi2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (log lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (log lambda1) into (log lambda1)
* [misc]backup-simplify:  Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1
* [misc]taylor:  Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/2 in phi1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (log lambda1)) in phi1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (log lambda1) into (log lambda1)
* [misc]backup-simplify:  Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2))
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2))) (* (- (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into (/ -2 lambda2)
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2))
* [misc]taylor:  Taking taylor expansion of (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of -2/3 in lambda2
* [misc]backup-simplify:  Simplify -2/3 into -2/3
* [misc]taylor:  Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2
* [misc]taylor:  Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (log lambda1)) in lambda2
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (log lambda1) into (log lambda1)
* [misc]backup-simplify:  Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2/3 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (/ 1 lambda2)) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (/ 1 lambda2)) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* (- (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) (- (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2))) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into (/ -1 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into (- (* 1/3 (/ 1 (pow lambda2 2))))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow lambda2 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)))
* [misc]taylor:  Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of -1/9 in lambda2
* [misc]backup-simplify:  Simplify -1/9 into -1/9
* [misc]taylor:  Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2
* [misc]taylor:  Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (log lambda1)) in lambda2
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (log lambda1) into (log lambda1)
* [misc]backup-simplify:  Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) 2)) (* 2 (log (/ 1 lambda1)))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log (/ 1 lambda1))))))
* [misc]approximate:  Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in (lambda1 lambda2 phi2 phi1) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in phi1
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (- (/ -1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (- (/ -1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (* (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))
* [misc]backup-simplify:  Simplify (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) into (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in phi2
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/3 in phi2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (- (/ -1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (- (/ -1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (* (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))
* [misc]backup-simplify:  Simplify (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) into (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in lambda2
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ -1 phi2) (/ -1 phi1)) into (- (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 phi1) (/ 1 phi2))) 2) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ -1 phi2) (/ -1 phi1)) into (- (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 phi1) (/ 1 phi2))) 2) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in lambda1
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ -1 phi2) (/ -1 phi1)) into (- (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 phi1) (/ 1 phi2))) 2) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ -1 phi2) (/ -1 phi1)) into (- (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 phi1) (/ 1 phi2))) 2) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
* [misc]backup-simplify:  Simplify (* (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in lambda1
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ -1 phi2) (/ -1 phi1)) into (- (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 phi1) (/ 1 phi2))) 2) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ -1 phi2) (/ -1 phi1)) into (- (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 phi1) (/ 1 phi2))) 2) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
* [misc]backup-simplify:  Simplify (* (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2
* [misc]taylor:  Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of -1/2 in lambda2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (log lambda1)) in lambda2
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (log lambda1) into (log lambda1)
* [misc]backup-simplify:  Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/3 in phi2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of -1/2 in phi2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (log lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (log lambda1) into (log lambda1)
* [misc]backup-simplify:  Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1
* [misc]taylor:  Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of -1/2 in phi1
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (log lambda1)) in phi1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (log lambda1) into (log lambda1)
* [misc]backup-simplify:  Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ -1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (/ 1 lambda2) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ -1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (/ 1 lambda2) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)
* [misc]backup-simplify:  Simplify (+ (* (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) (* (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2) (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into (/ -2 lambda2)
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2))
* [misc]taylor:  Taking taylor expansion of (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of -2/3 in lambda2
* [misc]backup-simplify:  Simplify -2/3 into -2/3
* [misc]taylor:  Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2
* [misc]taylor:  Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of -1/2 in lambda2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (log lambda1)) in lambda2
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (log lambda1) into (log lambda1)
* [misc]backup-simplify:  Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2/3 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-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 (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (/ 1 lambda2) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-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 (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (/ 1 lambda2) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 0) (+ (* (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2) (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) (* 0 (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into (/ -1 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into (- (* 1/3 (/ 1 (pow lambda2 2))))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow lambda2 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)))
* [misc]taylor:  Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of -1/9 in lambda2
* [misc]backup-simplify:  Simplify -1/9 into -1/9
* [misc]taylor:  Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2
* [misc]taylor:  Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of -1/2 in lambda2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (log lambda1)) in lambda2
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (log lambda1) into (log lambda1)
* [misc]backup-simplify:  Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) 2)) (* 2 (log (/ 1 (- lambda1))))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log (/ -1 lambda1))))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1 1 2 1 2)
* [misc]approximate:  Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in (lambda1 lambda2 phi2 phi1) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in phi1
* [misc]taylor:  Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 0) into phi2
* [misc]backup-simplify:  Simplify (/ phi2 2) into (* 1/2 phi2)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 0) into phi2
* [misc]backup-simplify:  Simplify (/ phi2 2) into (* 1/2 phi2)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi2))) into (* (cos (* 1/2 phi2)) (- lambda1 lambda2))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi2))) into (* (cos (* 1/2 phi2)) (- lambda1 lambda2))
* [misc]backup-simplify:  Simplify (* (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) into (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))
* [misc]backup-simplify:  Simplify (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) into (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))) into (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in phi2
* [misc]taylor:  Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/3 in phi2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 phi1) into phi1
* [misc]backup-simplify:  Simplify (/ phi1 2) into (* 1/2 phi1)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1))
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 phi1) into phi1
* [misc]backup-simplify:  Simplify (/ phi1 2) into (* 1/2 phi1)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi1))) into (* (- lambda1 lambda2) (cos (* 1/2 phi1)))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi1))) into (* (- lambda1 lambda2) (cos (* 1/2 phi1)))
* [misc]backup-simplify:  Simplify (* (* (- lambda1 lambda2) (cos (* 1/2 phi1))) (* (- lambda1 lambda2) (cos (* 1/2 phi1)))) into (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))
* [misc]backup-simplify:  Simplify (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))) into (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)))) into (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))))) into (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in lambda2
* [misc]taylor:  Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 phi1) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 phi1) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ lambda1 0) into lambda1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) into (* (cos (* 1/2 (+ phi1 phi2))) lambda1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ lambda1 0) into lambda1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) into (* (cos (* 1/2 (+ phi1 phi2))) lambda1)
* [misc]backup-simplify:  Simplify (* (* (cos (* 1/2 (+ phi1 phi2))) lambda1) (* (cos (* 1/2 (+ phi1 phi2))) lambda1)) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))
* [misc]backup-simplify:  Simplify (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))) into (log (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))))) into (pow (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in lambda1
* [misc]taylor:  Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 phi1) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 phi1) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (- lambda2)) into (- lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (- lambda2)) into (- lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
* [misc]backup-simplify:  Simplify (* (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))
* [misc]backup-simplify:  Simplify (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in lambda1
* [misc]taylor:  Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 phi1) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 phi1) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (- lambda2)) into (- lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (- lambda2)) into (- lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
* [misc]backup-simplify:  Simplify (* (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))
* [misc]backup-simplify:  Simplify (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in lambda2
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ phi1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (+ phi1 phi2) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
* [misc]backup-simplify:  Simplify (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))
* [misc]backup-simplify:  Simplify (+ (* (- -2) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))) into (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/3 in phi2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))) in phi2
* [misc]taylor:  Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ phi1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ phi1 0) into phi1
* [misc]backup-simplify:  Simplify (* 1/2 phi1) into (* 1/2 phi1)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* 1/2 phi1)) 2)) into (log (pow (cos (* 1/2 phi1)) 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (log lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (log lambda2) into (log lambda2)
* [misc]backup-simplify:  Simplify (* 2 (log lambda2)) into (* 2 (log lambda2))
* [misc]backup-simplify:  Simplify (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2))) into (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2)))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2)))) into (* 1/3 (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2)))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2)))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (log (pow (cos (* 1/2 phi1)) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi1)) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of 1/2 in phi1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]taylor:  Taking taylor expansion of (* 2 (log lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (log lambda2) into (log lambda2)
* [misc]backup-simplify:  Simplify (* 2 (log lambda2)) into (* 2 (log lambda2))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (log lambda2))) into (* 2 (log lambda2))
* [misc]backup-simplify:  Simplify (* 1/3 (* 2 (log lambda2))) into (* 2/3 (log lambda2))
* [misc]backup-simplify:  Simplify (exp (* 2/3 (log lambda2))) into (pow lambda2 2/3)
* [misc]backup-simplify:  Simplify (pow lambda2 2/3) into (pow lambda2 2/3)
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (- lambda2) 0) (* 1 (cos (* 1/2 (+ phi1 phi2))))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (- lambda2) 0) (* 1 (cos (* 1/2 (+ phi1 phi2))))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (+ (* (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) (cos (* 1/2 (+ phi1 phi2)))) (* (cos (* 1/2 (+ phi1 phi2))) (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 1)) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)))) 1) into (/ -2 lambda2)
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (- (* 2/3 (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3))
* [misc]taylor:  Taking taylor expansion of (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3)) in lambda2
* [misc]taylor:  Taking taylor expansion of -2/3 in lambda2
* [misc]backup-simplify:  Simplify -2/3 into -2/3
* [misc]taylor:  Taking taylor expansion of (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3) in lambda2
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ phi1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (+ phi1 phi2) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
* [misc]backup-simplify:  Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))))
* [misc]backup-simplify:  Simplify (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))))) into (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))))
* [misc]taylor:  Taking taylor expansion of (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))))) in phi2
* [misc]taylor:  Taking taylor expansion of -2/3 in phi2
* [misc]backup-simplify:  Simplify -2/3 into -2/3
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/3 in phi2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ phi1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ phi1 0) into phi1
* [misc]backup-simplify:  Simplify (* 1/2 phi1) into (* 1/2 phi1)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* 1/2 phi1)) 2)) into (log (pow (cos (* 1/2 phi1)) 2))
* [misc]taylor:  Taking taylor expansion of (log lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (log lambda2) into (log lambda2)
* [misc]backup-simplify:  Simplify (- (log lambda2)) into (- (log lambda2))
* [misc]backup-simplify:  Simplify (+ (log (pow (cos (* 1/2 phi1)) 2)) (- (log lambda2))) into (- (log (pow (cos (* 1/2 phi1)) 2)) (log lambda2))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (log lambda2))) into (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (log lambda2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (log lambda2)))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (log lambda2))))
* [misc]backup-simplify:  Simplify (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (log lambda2))))) into (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (log lambda2)))))
* [misc]taylor:  Taking taylor expansion of (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (log lambda2))))) in phi1
* [misc]taylor:  Taking taylor expansion of -2/3 in phi1
* [misc]backup-simplify:  Simplify -2/3 into -2/3
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (log lambda2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (log lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (pow (cos (* 1/2 phi1)) 2)) (log lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (log (pow (cos (* 1/2 phi1)) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi1)) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of 1/2 in phi1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]taylor:  Taking taylor expansion of (log lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (log lambda2) into (log lambda2)
* [misc]backup-simplify:  Simplify (- (log lambda2)) into (- (log lambda2))
* [misc]backup-simplify:  Simplify (+ 0 (- (log lambda2))) into (- (log lambda2))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log lambda2))) into (* -1/3 (log lambda2))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log lambda2))) into (pow lambda2 -1/3)
* [misc]backup-simplify:  Simplify (* -2/3 (pow lambda2 -1/3)) into (* -2/3 (pow (/ 1 lambda2) 1/3))
* [misc]backup-simplify:  Simplify (* -2/3 (pow (/ 1 lambda2) 1/3)) into (* -2/3 (pow (/ 1 lambda2) 1/3))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -2) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 phi1)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1)))
* [misc]backup-simplify:  Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1))))
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 phi1)) (- (* 1/2 (sin (* 1/2 phi1))))) (* (- (* 1/2 (sin (* 1/2 phi1)))) (cos (* 1/2 phi1)))) into (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) 1)) (pow (pow (cos (* 1/2 phi1)) 2) 1)))) 1) into (* -1 (/ (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) 0) into (- (/ (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (- (/ (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) (* 0 (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2))))) into (- (* 1/3 (/ (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2))))) (+ (* (/ (pow (- (* 1/3 (/ (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) 1) 1)))) into (* -1/3 (/ (* (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2))))) (sin (* 1/2 phi1))) (cos (* 1/2 phi1))))
* [misc]taylor:  Taking taylor expansion of (* -1/3 (/ (* (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2))))) (sin (* 1/2 phi1))) (cos (* 1/2 phi1)))) in phi1
* [misc]taylor:  Taking taylor expansion of -1/3 in phi1
* [misc]backup-simplify:  Simplify -1/3 into -1/3
* [misc]taylor:  Taking taylor expansion of (/ (* (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2))))) (sin (* 1/2 phi1))) (cos (* 1/2 phi1))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2))))) (sin (* 1/2 phi1))) in phi1
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2)))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (log (pow (cos (* 1/2 phi1)) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi1)) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of 1/2 in phi1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]taylor:  Taking taylor expansion of (* 2 (log lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (log lambda2) into (log lambda2)
* [misc]backup-simplify:  Simplify (* 2 (log lambda2)) into (* 2 (log lambda2))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (log lambda2))) into (* 2 (log lambda2))
* [misc]backup-simplify:  Simplify (* 1/3 (* 2 (log lambda2))) into (* 2/3 (log lambda2))
* [misc]backup-simplify:  Simplify (exp (* 2/3 (log lambda2))) into (pow lambda2 2/3)
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of 1/2 in phi1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of 1/2 in phi1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (* (pow lambda2 2/3) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (* 2 (log lambda2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2/3 (log lambda2))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow lambda2 2/3) 1/2) (* 0 0)) into (* 1/2 (pow (pow lambda2 2) 1/3))
* [misc]backup-simplify:  Simplify (/ (* 1/2 (pow (pow lambda2 2) 1/3)) 1) into (* 1/2 (pow (pow lambda2 2) 1/3))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (* 2 (log lambda2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2/3 (log lambda2))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- lambda2) 0) (+ (* 1 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- lambda2) 0) (+ (* 1 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) 0) (+ (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) (* 0 (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 2)) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)))) 2) into (/ -1 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))))) into (- (* 1/3 (/ 1 (pow lambda2 2))))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow lambda2 2)))) 1) 1)))) into (* -1/9 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3))
* [misc]taylor:  Taking taylor expansion of (* -1/9 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3)) in lambda2
* [misc]taylor:  Taking taylor expansion of -1/9 in lambda2
* [misc]backup-simplify:  Simplify -1/9 into -1/9
* [misc]taylor:  Taking taylor expansion of (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3) in lambda2
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) in lambda2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ phi1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (+ phi1 phi2) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]taylor:  Taking taylor expansion of (pow lambda2 4) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))
* [misc]backup-simplify:  Simplify (+ (* (- 4) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))))
* [misc]backup-simplify:  Simplify (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))))) into (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))))
* [misc]taylor:  Taking taylor expansion of (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))))) in phi2
* [misc]taylor:  Taking taylor expansion of -1/9 in phi2
* [misc]backup-simplify:  Simplify -1/9 into -1/9
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/3 in phi2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))) in phi2
* [misc]taylor:  Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ phi1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ phi1 0) into phi1
* [misc]backup-simplify:  Simplify (* 1/2 phi1) into (* 1/2 phi1)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* 1/2 phi1)) 2)) into (log (pow (cos (* 1/2 phi1)) 2))
* [misc]taylor:  Taking taylor expansion of (* 4 (log lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of 4 in phi2
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (log lambda2) into (log lambda2)
* [misc]backup-simplify:  Simplify (* 4 (log lambda2)) into (* 4 (log lambda2))
* [misc]backup-simplify:  Simplify (- (* 4 (log lambda2))) into (- (* 4 (log lambda2)))
* [misc]backup-simplify:  Simplify (+ (log (pow (cos (* 1/2 phi1)) 2)) (- (* 4 (log lambda2)))) into (- (log (pow (cos (* 1/2 phi1)) 2)) (* 4 (log lambda2)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (* 4 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (* 4 (log lambda2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (* 4 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (* 4 (log lambda2)))))
* [misc]backup-simplify:  Simplify (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (* 4 (log lambda2)))))) into (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (* 4 (log lambda2))))))
* [misc]taylor:  Taking taylor expansion of (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (* 4 (log lambda2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of -1/9 in phi1
* [misc]backup-simplify:  Simplify -1/9 into -1/9
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (* 4 (log lambda2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (* 4 (log lambda2)))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (pow (cos (* 1/2 phi1)) 2)) (* 4 (log lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (log (pow (cos (* 1/2 phi1)) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi1)) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of 1/2 in phi1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]taylor:  Taking taylor expansion of (* 4 (log lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of 4 in phi1
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (log lambda2) into (log lambda2)
* [misc]backup-simplify:  Simplify (* 4 (log lambda2)) into (* 4 (log lambda2))
* [misc]backup-simplify:  Simplify (- (* 4 (log lambda2))) into (- (* 4 (log lambda2)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 4 (log lambda2)))) into (- (* 4 (log lambda2)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (* 4 (log lambda2)))) into (* -4/3 (log lambda2))
* [misc]backup-simplify:  Simplify (exp (* -4/3 (log lambda2))) into (pow lambda2 -4/3)
* [misc]backup-simplify:  Simplify (* -1/9 (pow lambda2 -4/3)) into (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3))
* [misc]backup-simplify:  Simplify (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) into (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3))
* [misc]backup-simplify:  Simplify (+ (* (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) (pow (* 1 (* 1 (* 1 lambda1))) 2)) (+ (* (* -2/3 (pow (/ 1 lambda2) 1/3)) (* 1 (* 1 (* 1 lambda1)))) (pow lambda2 2/3))) into (- (pow lambda2 2/3) (+ (* 2/3 (* (pow (/ 1 lambda2) 1/3) lambda1)) (* 1/9 (* (pow (/ 1 (pow lambda2 4)) 1/3) (pow lambda1 2)))))
* [misc]approximate:  Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in (lambda1 lambda2 phi2 phi1) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in phi1
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (* (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2)))) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))
* [misc]backup-simplify:  Simplify (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) into (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in phi2
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/3 in phi2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (* (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2)))) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))
* [misc]backup-simplify:  Simplify (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) into (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in lambda2
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
* [misc]backup-simplify:  Simplify (* (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in lambda1
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in lambda1
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2
* [misc]taylor:  Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (log lambda1)) in lambda2
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (log lambda1) into (log lambda1)
* [misc]backup-simplify:  Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/3 in phi2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (log lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (log lambda1) into (log lambda1)
* [misc]backup-simplify:  Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1
* [misc]taylor:  Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/2 in phi1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (log lambda1)) in phi1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (log lambda1) into (log lambda1)
* [misc]backup-simplify:  Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2))
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2))) (* (- (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into (/ -2 lambda2)
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2))
* [misc]taylor:  Taking taylor expansion of (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of -2/3 in lambda2
* [misc]backup-simplify:  Simplify -2/3 into -2/3
* [misc]taylor:  Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2
* [misc]taylor:  Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (log lambda1)) in lambda2
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (log lambda1) into (log lambda1)
* [misc]backup-simplify:  Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2/3 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (/ 1 lambda2)) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (/ 1 lambda2)) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* (- (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) (- (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2))) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into (/ -1 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into (- (* 1/3 (/ 1 (pow lambda2 2))))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow lambda2 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)))
* [misc]taylor:  Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of -1/9 in lambda2
* [misc]backup-simplify:  Simplify -1/9 into -1/9
* [misc]taylor:  Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2
* [misc]taylor:  Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (log lambda1)) in lambda2
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (log lambda1) into (log lambda1)
* [misc]backup-simplify:  Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) 2)) (* 2 (log (/ 1 lambda1)))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log (/ 1 lambda1))))))
* [misc]approximate:  Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in (lambda1 lambda2 phi2 phi1) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in phi1
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (- (/ -1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (- (/ -1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (* (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))
* [misc]backup-simplify:  Simplify (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) into (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in phi2
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/3 in phi2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (- (/ -1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (- (/ -1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (* (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))
* [misc]backup-simplify:  Simplify (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) into (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in lambda2
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ -1 phi2) (/ -1 phi1)) into (- (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 phi1) (/ 1 phi2))) 2) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ -1 phi2) (/ -1 phi1)) into (- (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 phi1) (/ 1 phi2))) 2) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in lambda1
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ -1 phi2) (/ -1 phi1)) into (- (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 phi1) (/ 1 phi2))) 2) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ -1 phi2) (/ -1 phi1)) into (- (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 phi1) (/ 1 phi2))) 2) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
* [misc]backup-simplify:  Simplify (* (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in lambda1
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ -1 phi2) (/ -1 phi1)) into (- (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 phi1) (/ 1 phi2))) 2) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ -1 phi2) (/ -1 phi1)) into (- (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 phi1) (/ 1 phi2))) 2) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
* [misc]backup-simplify:  Simplify (* (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2
* [misc]taylor:  Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of -1/2 in lambda2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (log lambda1)) in lambda2
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (log lambda1) into (log lambda1)
* [misc]backup-simplify:  Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/3 in phi2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of -1/2 in phi2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (log lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (log lambda1) into (log lambda1)
* [misc]backup-simplify:  Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1
* [misc]taylor:  Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of -1/2 in phi1
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (log lambda1)) in phi1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (log lambda1) into (log lambda1)
* [misc]backup-simplify:  Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ -1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (/ 1 lambda2) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ -1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (/ 1 lambda2) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)
* [misc]backup-simplify:  Simplify (+ (* (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) (* (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2) (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into (/ -2 lambda2)
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2))
* [misc]taylor:  Taking taylor expansion of (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of -2/3 in lambda2
* [misc]backup-simplify:  Simplify -2/3 into -2/3
* [misc]taylor:  Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2
* [misc]taylor:  Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of -1/2 in lambda2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (log lambda1)) in lambda2
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (log lambda1) into (log lambda1)
* [misc]backup-simplify:  Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2/3 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-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 (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (/ 1 lambda2) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-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 (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (/ 1 lambda2) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 0) (+ (* (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2) (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) (* 0 (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into (/ -1 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into (- (* 1/3 (/ 1 (pow lambda2 2))))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow lambda2 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)))
* [misc]taylor:  Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of -1/9 in lambda2
* [misc]backup-simplify:  Simplify -1/9 into -1/9
* [misc]taylor:  Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2
* [misc]taylor:  Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of -1/2 in lambda2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (log lambda1)) in lambda2
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (log lambda1) into (log lambda1)
* [misc]backup-simplify:  Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) 2)) (* 2 (log (/ 1 (- lambda1))))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log (/ -1 lambda1))))))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1 1 2 1 1)
* [misc]approximate:  Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in (lambda1 lambda2 phi2 phi1) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in phi1
* [misc]taylor:  Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 0) into phi2
* [misc]backup-simplify:  Simplify (/ phi2 2) into (* 1/2 phi2)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 0) into phi2
* [misc]backup-simplify:  Simplify (/ phi2 2) into (* 1/2 phi2)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi2))) into (* (cos (* 1/2 phi2)) (- lambda1 lambda2))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi2))) into (* (cos (* 1/2 phi2)) (- lambda1 lambda2))
* [misc]backup-simplify:  Simplify (* (* (cos (* 1/2 phi2)) (- lambda1 lambda2)) (* (cos (* 1/2 phi2)) (- lambda1 lambda2))) into (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))
* [misc]backup-simplify:  Simplify (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) into (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))) into (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in phi2
* [misc]taylor:  Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/3 in phi2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 phi1) into phi1
* [misc]backup-simplify:  Simplify (/ phi1 2) into (* 1/2 phi1)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1))
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 phi1) into phi1
* [misc]backup-simplify:  Simplify (/ phi1 2) into (* 1/2 phi1)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi1))) into (* (- lambda1 lambda2) (cos (* 1/2 phi1)))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi1))) into (* (- lambda1 lambda2) (cos (* 1/2 phi1)))
* [misc]backup-simplify:  Simplify (* (* (- lambda1 lambda2) (cos (* 1/2 phi1))) (* (- lambda1 lambda2) (cos (* 1/2 phi1)))) into (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))
* [misc]backup-simplify:  Simplify (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))) into (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)))) into (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))))) into (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in lambda2
* [misc]taylor:  Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 phi1) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 phi1) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ lambda1 0) into lambda1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) into (* (cos (* 1/2 (+ phi1 phi2))) lambda1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ lambda1 0) into lambda1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) into (* (cos (* 1/2 (+ phi1 phi2))) lambda1)
* [misc]backup-simplify:  Simplify (* (* (cos (* 1/2 (+ phi1 phi2))) lambda1) (* (cos (* 1/2 (+ phi1 phi2))) lambda1)) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))
* [misc]backup-simplify:  Simplify (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))) into (log (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))))) into (pow (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in lambda1
* [misc]taylor:  Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 phi1) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 phi1) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (- lambda2)) into (- lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (- lambda2)) into (- lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
* [misc]backup-simplify:  Simplify (* (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))
* [misc]backup-simplify:  Simplify (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in lambda1
* [misc]taylor:  Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 phi1) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]taylor:  Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ phi2 phi1) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ phi2 phi1) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ phi2 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ phi2 phi1) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (- lambda2)) into (- lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (- lambda2)) into (- lambda2)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))
* [misc]backup-simplify:  Simplify (* (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))
* [misc]backup-simplify:  Simplify (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in lambda2
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ phi1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (+ phi1 phi2) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
* [misc]backup-simplify:  Simplify (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))
* [misc]backup-simplify:  Simplify (+ (* (- -2) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))) into (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/3 in phi2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))) in phi2
* [misc]taylor:  Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ phi1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ phi1 0) into phi1
* [misc]backup-simplify:  Simplify (* 1/2 phi1) into (* 1/2 phi1)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* 1/2 phi1)) 2)) into (log (pow (cos (* 1/2 phi1)) 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (log lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (log lambda2) into (log lambda2)
* [misc]backup-simplify:  Simplify (* 2 (log lambda2)) into (* 2 (log lambda2))
* [misc]backup-simplify:  Simplify (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2))) into (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2)))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2)))) into (* 1/3 (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2)))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2)))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (log (pow (cos (* 1/2 phi1)) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi1)) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of 1/2 in phi1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]taylor:  Taking taylor expansion of (* 2 (log lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (log lambda2) into (log lambda2)
* [misc]backup-simplify:  Simplify (* 2 (log lambda2)) into (* 2 (log lambda2))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (log lambda2))) into (* 2 (log lambda2))
* [misc]backup-simplify:  Simplify (* 1/3 (* 2 (log lambda2))) into (* 2/3 (log lambda2))
* [misc]backup-simplify:  Simplify (exp (* 2/3 (log lambda2))) into (pow lambda2 2/3)
* [misc]backup-simplify:  Simplify (pow lambda2 2/3) into (pow lambda2 2/3)
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (- lambda2) 0) (* 1 (cos (* 1/2 (+ phi1 phi2))))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (- lambda2) 0) (* 1 (cos (* 1/2 (+ phi1 phi2))))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (+ (* (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) (cos (* 1/2 (+ phi1 phi2)))) (* (cos (* 1/2 (+ phi1 phi2))) (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 1)) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)))) 1) into (/ -2 lambda2)
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (- (* 2/3 (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3))
* [misc]taylor:  Taking taylor expansion of (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3)) in lambda2
* [misc]taylor:  Taking taylor expansion of -2/3 in lambda2
* [misc]backup-simplify:  Simplify -2/3 into -2/3
* [misc]taylor:  Taking taylor expansion of (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3) in lambda2
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ phi1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (+ phi1 phi2) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
* [misc]backup-simplify:  Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))))
* [misc]backup-simplify:  Simplify (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))))) into (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))))
* [misc]taylor:  Taking taylor expansion of (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))))) in phi2
* [misc]taylor:  Taking taylor expansion of -2/3 in phi2
* [misc]backup-simplify:  Simplify -2/3 into -2/3
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/3 in phi2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ phi1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ phi1 0) into phi1
* [misc]backup-simplify:  Simplify (* 1/2 phi1) into (* 1/2 phi1)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* 1/2 phi1)) 2)) into (log (pow (cos (* 1/2 phi1)) 2))
* [misc]taylor:  Taking taylor expansion of (log lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (log lambda2) into (log lambda2)
* [misc]backup-simplify:  Simplify (- (log lambda2)) into (- (log lambda2))
* [misc]backup-simplify:  Simplify (+ (log (pow (cos (* 1/2 phi1)) 2)) (- (log lambda2))) into (- (log (pow (cos (* 1/2 phi1)) 2)) (log lambda2))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (log lambda2))) into (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (log lambda2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (log lambda2)))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (log lambda2))))
* [misc]backup-simplify:  Simplify (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (log lambda2))))) into (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (log lambda2)))))
* [misc]taylor:  Taking taylor expansion of (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (log lambda2))))) in phi1
* [misc]taylor:  Taking taylor expansion of -2/3 in phi1
* [misc]backup-simplify:  Simplify -2/3 into -2/3
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (log lambda2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (log lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (pow (cos (* 1/2 phi1)) 2)) (log lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (log (pow (cos (* 1/2 phi1)) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi1)) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of 1/2 in phi1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]taylor:  Taking taylor expansion of (log lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (log lambda2) into (log lambda2)
* [misc]backup-simplify:  Simplify (- (log lambda2)) into (- (log lambda2))
* [misc]backup-simplify:  Simplify (+ 0 (- (log lambda2))) into (- (log lambda2))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log lambda2))) into (* -1/3 (log lambda2))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log lambda2))) into (pow lambda2 -1/3)
* [misc]backup-simplify:  Simplify (* -2/3 (pow lambda2 -1/3)) into (* -2/3 (pow (/ 1 lambda2) 1/3))
* [misc]backup-simplify:  Simplify (* -2/3 (pow (/ 1 lambda2) 1/3)) into (* -2/3 (pow (/ 1 lambda2) 1/3))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -2) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 phi1)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1)))
* [misc]backup-simplify:  Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1))))
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 phi1)) (- (* 1/2 (sin (* 1/2 phi1))))) (* (- (* 1/2 (sin (* 1/2 phi1)))) (cos (* 1/2 phi1)))) into (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) 1)) (pow (pow (cos (* 1/2 phi1)) 2) 1)))) 1) into (* -1 (/ (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) 0) into (- (/ (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (- (/ (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) (* 0 (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2))))) into (- (* 1/3 (/ (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2))))) (+ (* (/ (pow (- (* 1/3 (/ (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) 1) 1)))) into (* -1/3 (/ (* (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2))))) (sin (* 1/2 phi1))) (cos (* 1/2 phi1))))
* [misc]taylor:  Taking taylor expansion of (* -1/3 (/ (* (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2))))) (sin (* 1/2 phi1))) (cos (* 1/2 phi1)))) in phi1
* [misc]taylor:  Taking taylor expansion of -1/3 in phi1
* [misc]backup-simplify:  Simplify -1/3 into -1/3
* [misc]taylor:  Taking taylor expansion of (/ (* (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2))))) (sin (* 1/2 phi1))) (cos (* 1/2 phi1))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2))))) (sin (* 1/2 phi1))) in phi1
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2)))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (+ (log (pow (cos (* 1/2 phi1)) 2)) (* 2 (log lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (log (pow (cos (* 1/2 phi1)) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi1)) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of 1/2 in phi1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]taylor:  Taking taylor expansion of (* 2 (log lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (log lambda2) into (log lambda2)
* [misc]backup-simplify:  Simplify (* 2 (log lambda2)) into (* 2 (log lambda2))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (log lambda2))) into (* 2 (log lambda2))
* [misc]backup-simplify:  Simplify (* 1/3 (* 2 (log lambda2))) into (* 2/3 (log lambda2))
* [misc]backup-simplify:  Simplify (exp (* 2/3 (log lambda2))) into (pow lambda2 2/3)
* [misc]taylor:  Taking taylor expansion of (sin (* 1/2 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of 1/2 in phi1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of 1/2 in phi1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (* (pow lambda2 2/3) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (* 2 (log lambda2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2/3 (log lambda2))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow lambda2 2/3) 1/2) (* 0 0)) into (* 1/2 (pow (pow lambda2 2) 1/3))
* [misc]backup-simplify:  Simplify (/ (* 1/2 (pow (pow lambda2 2) 1/3)) 1) into (* 1/2 (pow (pow lambda2 2) 1/3))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (* 2 (log lambda2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2/3 (log lambda2))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- lambda2) 0) (+ (* 1 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- lambda2) 0) (+ (* 1 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) 0) (+ (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) (* 0 (* -1 (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 2)) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)))) 2) into (/ -1 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))))) into (- (* 1/3 (/ 1 (pow lambda2 2))))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow lambda2 2)))) 1) 1)))) into (* -1/9 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3))
* [misc]taylor:  Taking taylor expansion of (* -1/9 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3)) in lambda2
* [misc]taylor:  Taking taylor expansion of -1/9 in lambda2
* [misc]backup-simplify:  Simplify -1/9 into -1/9
* [misc]taylor:  Taking taylor expansion of (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3) in lambda2
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) in lambda2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ phi1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (+ phi1 phi2) into (+ phi1 phi2)
* [misc]backup-simplify:  Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
* [misc]taylor:  Taking taylor expansion of (pow lambda2 4) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))
* [misc]backup-simplify:  Simplify (+ (* (- 4) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))))
* [misc]backup-simplify:  Simplify (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))))) into (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))))
* [misc]taylor:  Taking taylor expansion of (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))))) in phi2
* [misc]taylor:  Taking taylor expansion of -1/9 in phi2
* [misc]backup-simplify:  Simplify -1/9 into -1/9
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/3 in phi2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))) in phi2
* [misc]taylor:  Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ phi1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ phi1 0) into phi1
* [misc]backup-simplify:  Simplify (* 1/2 phi1) into (* 1/2 phi1)
* [misc]backup-simplify:  Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* 1/2 phi1)) 2)) into (log (pow (cos (* 1/2 phi1)) 2))
* [misc]taylor:  Taking taylor expansion of (* 4 (log lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of 4 in phi2
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (log lambda2) into (log lambda2)
* [misc]backup-simplify:  Simplify (* 4 (log lambda2)) into (* 4 (log lambda2))
* [misc]backup-simplify:  Simplify (- (* 4 (log lambda2))) into (- (* 4 (log lambda2)))
* [misc]backup-simplify:  Simplify (+ (log (pow (cos (* 1/2 phi1)) 2)) (- (* 4 (log lambda2)))) into (- (log (pow (cos (* 1/2 phi1)) 2)) (* 4 (log lambda2)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (* 4 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (* 4 (log lambda2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (* 4 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (* 4 (log lambda2)))))
* [misc]backup-simplify:  Simplify (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (* 4 (log lambda2)))))) into (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (* 4 (log lambda2))))))
* [misc]taylor:  Taking taylor expansion of (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (* 4 (log lambda2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of -1/9 in phi1
* [misc]backup-simplify:  Simplify -1/9 into -1/9
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (* 4 (log lambda2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 phi1)) 2)) (* 4 (log lambda2)))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (pow (cos (* 1/2 phi1)) 2)) (* 4 (log lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (log (pow (cos (* 1/2 phi1)) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 phi1)) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/2 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of 1/2 in phi1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]taylor:  Taking taylor expansion of (* 4 (log lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of 4 in phi1
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (log lambda2) into (log lambda2)
* [misc]backup-simplify:  Simplify (* 4 (log lambda2)) into (* 4 (log lambda2))
* [misc]backup-simplify:  Simplify (- (* 4 (log lambda2))) into (- (* 4 (log lambda2)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 4 (log lambda2)))) into (- (* 4 (log lambda2)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (* 4 (log lambda2)))) into (* -4/3 (log lambda2))
* [misc]backup-simplify:  Simplify (exp (* -4/3 (log lambda2))) into (pow lambda2 -4/3)
* [misc]backup-simplify:  Simplify (* -1/9 (pow lambda2 -4/3)) into (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3))
* [misc]backup-simplify:  Simplify (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) into (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3))
* [misc]backup-simplify:  Simplify (+ (* (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) (pow (* 1 (* 1 (* 1 lambda1))) 2)) (+ (* (* -2/3 (pow (/ 1 lambda2) 1/3)) (* 1 (* 1 (* 1 lambda1)))) (pow lambda2 2/3))) into (- (pow lambda2 2/3) (+ (* 2/3 (* (pow (/ 1 lambda2) 1/3) lambda1)) (* 1/9 (* (pow (/ 1 (pow lambda2 4)) 1/3) (pow lambda1 2)))))
* [misc]approximate:  Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in (lambda1 lambda2 phi2 phi1) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in phi1
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (* (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2)))) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))
* [misc]backup-simplify:  Simplify (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) into (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in phi2
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/3 in phi2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (* (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda1) (/ 1 lambda2)))) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))
* [misc]backup-simplify:  Simplify (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) into (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in lambda2
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
* [misc]backup-simplify:  Simplify (* (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in lambda1
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in lambda1
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 phi2) (/ 1 phi1)) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2
* [misc]taylor:  Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (log lambda1)) in lambda2
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (log lambda1) into (log lambda1)
* [misc]backup-simplify:  Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/3 in phi2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (log lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (log lambda1) into (log lambda1)
* [misc]backup-simplify:  Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1
* [misc]taylor:  Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/2 in phi1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (log lambda1)) in phi1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (log lambda1) into (log lambda1)
* [misc]backup-simplify:  Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2))
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2))) (* (- (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into (/ -2 lambda2)
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2))
* [misc]taylor:  Taking taylor expansion of (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of -2/3 in lambda2
* [misc]backup-simplify:  Simplify -2/3 into -2/3
* [misc]taylor:  Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2
* [misc]taylor:  Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (log lambda1)) in lambda2
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (log lambda1) into (log lambda1)
* [misc]backup-simplify:  Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2/3 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (/ 1 lambda2)) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (/ 1 lambda2)) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* (- (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) (- (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2))) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into (/ -1 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into (- (* 1/3 (/ 1 (pow lambda2 2))))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow lambda2 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)))
* [misc]taylor:  Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of -1/9 in lambda2
* [misc]backup-simplify:  Simplify -1/9 into -1/9
* [misc]taylor:  Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2
* [misc]taylor:  Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (log lambda1)) in lambda2
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (log lambda1) into (log lambda1)
* [misc]backup-simplify:  Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) 2)) (* 2 (log (/ 1 lambda1)))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log (/ 1 lambda1))))))
* [misc]approximate:  Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in (lambda1 lambda2 phi2 phi1) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in phi1
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (- (/ -1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (- (/ -1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (* (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))
* [misc]backup-simplify:  Simplify (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) into (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in phi2
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/3 in phi2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (- (/ -1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (- (/ -1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (* (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))
* [misc]backup-simplify:  Simplify (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) into (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in lambda2
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ -1 phi2) (/ -1 phi1)) into (- (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 phi1) (/ 1 phi2))) 2) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ -1 phi2) (/ -1 phi1)) into (- (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 phi1) (/ 1 phi2))) 2) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in lambda1
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ -1 phi2) (/ -1 phi1)) into (- (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 phi1) (/ 1 phi2))) 2) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ -1 phi2) (/ -1 phi1)) into (- (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 phi1) (/ 1 phi2))) 2) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
* [misc]backup-simplify:  Simplify (* (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in lambda1
* [misc]taylor:  Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ -1 phi2) (/ -1 phi1)) into (- (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 phi1) (/ 1 phi2))) 2) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]taylor:  Taking taylor expansion of (cos (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- phi2)) (/ 1 (- phi1))) 2) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- phi2)) (/ 1 (- phi1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (/ -1 phi2) (/ -1 phi1)) into (- (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 phi1) (/ 1 phi2))) 2) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
* [misc]backup-simplify:  Simplify (* (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2
* [misc]taylor:  Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of -1/2 in lambda2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (log lambda1)) in lambda2
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (log lambda1) into (log lambda1)
* [misc]backup-simplify:  Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/3 in phi2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of -1/2 in phi2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (log lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (log lambda1) into (log lambda1)
* [misc]backup-simplify:  Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1
* [misc]taylor:  Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1
* [misc]taylor:  Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1
* [misc]taylor:  Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of -1/2 in phi1
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (log lambda1)) in phi1
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (log lambda1) into (log lambda1)
* [misc]backup-simplify:  Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ -1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (/ 1 lambda2) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ -1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (/ 1 lambda2) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)
* [misc]backup-simplify:  Simplify (+ (* (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) (* (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2) (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into (/ -2 lambda2)
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2))
* [misc]taylor:  Taking taylor expansion of (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of -2/3 in lambda2
* [misc]backup-simplify:  Simplify -2/3 into -2/3
* [misc]taylor:  Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2
* [misc]taylor:  Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of -1/2 in lambda2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (log lambda1)) in lambda2
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (log lambda1) into (log lambda1)
* [misc]backup-simplify:  Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2/3 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-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 (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (/ 1 lambda2) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-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 (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (/ 1 lambda2) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 0) (+ (* (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2) (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) (* 0 (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into (/ -1 (pow lambda2 2))
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into (- (* 1/3 (/ 1 (pow lambda2 2))))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow lambda2 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)))
* [misc]taylor:  Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) in lambda2
* [misc]taylor:  Taking taylor expansion of -1/9 in lambda2
* [misc]backup-simplify:  Simplify -1/9 into -1/9
* [misc]taylor:  Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/3 in lambda2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2
* [misc]taylor:  Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of -1/2 in lambda2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
* [misc]backup-simplify:  Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
* [misc]backup-simplify:  Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
* [misc]backup-simplify:  Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (log lambda1)) in lambda2
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (log lambda1) into (log lambda1)
* [misc]backup-simplify:  Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
* [misc]backup-simplify:  Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]taylor:  Taking taylor expansion of (pow lambda2 2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) 2)) (* 2 (log (/ 1 (- lambda1))))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log (/ -1 lambda1))))))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (pow (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) 1/2) R))>
* * * * [misc]progress:  [ 2 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (pow (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) 1) R))>
* * * * [misc]progress:  [ 3 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))) R))>
* * * * [misc]progress:  [ 4 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))) R))>
* * * * [misc]progress:  [ 5 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (cbrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (cbrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))) (cbrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))) R))>
* * * * [misc]progress:  [ 6 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (cbrt (* (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))) R))>
* * * * [misc]progress:  [ 7 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (* (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (192 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- phi1 phi2) (- phi1 phi2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (fabs (cbrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))) R))
* * * * [misc]progress:  [ 8 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (190 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- phi1 phi2) (- phi1 phi2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))) R))
* * * * [misc]progress:  [ 9 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt 1) (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* 1 (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) R))
* * * * [misc]progress:  [ 10 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (40 enodes)
* * [misc]simplify:  iters left: 5 (96 enodes)
* * [misc]simplify:  iters left: 4 (281 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 11 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (124 enodes)
* * [misc]simplify:  iters left: 4 (391 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 12 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (123 enodes)
* * [misc]simplify:  iters left: 4 (388 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 13 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* * [misc]simplify:  iters left: 4 (351 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 14 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (45 enodes)
* * [misc]simplify:  iters left: 5 (112 enodes)
* * [misc]simplify:  iters left: 4 (336 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 15 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (120 enodes)
* * [misc]simplify:  iters left: 4 (359 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 16 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (45 enodes)
* * [misc]simplify:  iters left: 5 (113 enodes)
* * [misc]simplify:  iters left: 4 (337 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 17 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (120 enodes)
* * [misc]simplify:  iters left: 4 (359 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 18 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* * [misc]simplify:  iters left: 4 (381 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 19 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (126 enodes)
* * [misc]simplify:  iters left: 4 (393 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 20 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (434 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 21 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (139 enodes)
* * [misc]simplify:  iters left: 4 (437 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 22 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (445 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 23 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (447 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 24 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (138 enodes)
* * [misc]simplify:  iters left: 4 (446 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 25 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (138 enodes)
* * [misc]simplify:  iters left: 4 (448 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 26 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (121 enodes)
* * [misc]simplify:  iters left: 4 (378 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 27 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (434 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 28 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (125 enodes)
* * [misc]simplify:  iters left: 4 (390 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 29 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (139 enodes)
* * [misc]simplify:  iters left: 4 (435 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 30 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (439 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 31 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (443 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 32 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (440 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 33 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (443 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 34 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (120 enodes)
* * [misc]simplify:  iters left: 4 (341 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 35 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (139 enodes)
* * [misc]simplify:  iters left: 4 (437 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 36 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (139 enodes)
* * [misc]simplify:  iters left: 4 (435 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 37 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (124 enodes)
* * [misc]simplify:  iters left: 4 (353 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 38 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (135 enodes)
* * [misc]simplify:  iters left: 4 (403 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 39 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (135 enodes)
* * [misc]simplify:  iters left: 4 (405 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 40 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (404 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 41 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (406 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 42 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (45 enodes)
* * [misc]simplify:  iters left: 5 (111 enodes)
* * [misc]simplify:  iters left: 4 (328 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 43 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (445 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 44 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (439 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 45 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (135 enodes)
* * [misc]simplify:  iters left: 4 (403 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 46 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (45 enodes)
* * [misc]simplify:  iters left: 5 (114 enodes)
* * [misc]simplify:  iters left: 4 (338 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 47 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (397 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 48 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (119 enodes)
* * [misc]simplify:  iters left: 4 (355 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 49 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (397 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 50 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (120 enodes)
* * [misc]simplify:  iters left: 4 (353 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 51 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (447 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 52 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (443 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 53 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (135 enodes)
* * [misc]simplify:  iters left: 4 (405 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 54 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (397 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 55 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* * [misc]simplify:  iters left: 4 (361 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 56 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (130 enodes)
* * [misc]simplify:  iters left: 4 (398 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 57 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (127 enodes)
* * [misc]simplify:  iters left: 4 (368 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 58 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (45 enodes)
* * [misc]simplify:  iters left: 5 (112 enodes)
* * [misc]simplify:  iters left: 4 (329 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 59 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (138 enodes)
* * [misc]simplify:  iters left: 4 (446 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 60 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (440 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 61 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (404 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 62 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (119 enodes)
* * [misc]simplify:  iters left: 4 (355 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 63 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (130 enodes)
* * [misc]simplify:  iters left: 4 (398 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 64 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (45 enodes)
* * [misc]simplify:  iters left: 5 (115 enodes)
* * [misc]simplify:  iters left: 4 (339 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 65 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (397 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 66 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (120 enodes)
* * [misc]simplify:  iters left: 4 (353 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 67 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (138 enodes)
* * [misc]simplify:  iters left: 4 (448 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 68 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (443 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 69 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (406 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 70 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (397 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 71 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (127 enodes)
* * [misc]simplify:  iters left: 4 (368 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 72 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (397 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 73 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* * [misc]simplify:  iters left: 4 (361 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 74 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (126 enodes)
* * [misc]simplify:  iters left: 4 (393 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 75 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* * [misc]simplify:  iters left: 4 (381 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 76 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (135 enodes)
* * [misc]simplify:  iters left: 4 (414 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 77 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (139 enodes)
* * [misc]simplify:  iters left: 4 (437 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 78 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (445 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 79 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (447 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 80 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (138 enodes)
* * [misc]simplify:  iters left: 4 (446 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 81 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (138 enodes)
* * [misc]simplify:  iters left: 4 (448 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 82 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (124 enodes)
* * [misc]simplify:  iters left: 4 (391 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 83 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (43 enodes)
* * [misc]simplify:  iters left: 5 (106 enodes)
* * [misc]simplify:  iters left: 4 (311 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 84 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (123 enodes)
* * [misc]simplify:  iters left: 4 (364 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 85 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (123 enodes)
* * [misc]simplify:  iters left: 4 (359 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 86 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* * [misc]simplify:  iters left: 4 (370 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 87 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (121 enodes)
* * [misc]simplify:  iters left: 4 (371 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 88 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* * [misc]simplify:  iters left: 4 (370 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 89 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* * [misc]simplify:  iters left: 4 (372 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 90 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (431 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 91 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* * [misc]simplify:  iters left: 4 (353 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 92 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (124 enodes)
* * [misc]simplify:  iters left: 4 (375 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 93 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (400 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 94 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (135 enodes)
* * [misc]simplify:  iters left: 4 (408 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 95 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (135 enodes)
* * [misc]simplify:  iters left: 4 (410 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 96 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (409 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 97 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (411 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 98 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (139 enodes)
* * [misc]simplify:  iters left: 4 (437 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 99 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (121 enodes)
* * [misc]simplify:  iters left: 4 (349 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 100 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (135 enodes)
* * [misc]simplify:  iters left: 4 (383 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 101 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (125 enodes)
* * [misc]simplify:  iters left: 4 (361 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 102 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (412 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 103 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (413 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 104 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (412 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 105 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (414 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 106 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (445 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 107 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* * [misc]simplify:  iters left: 4 (364 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (pow phi1 3) (pow phi2 3))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (pow phi1 3) (pow phi2 3))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 108 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (135 enodes)
* * [misc]simplify:  iters left: 4 (399 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 109 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (412 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 110 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (124 enodes)
* * [misc]simplify:  iters left: 4 (372 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 111 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (410 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 112 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (379 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 113 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (132 enodes)
* * [misc]simplify:  iters left: 4 (411 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 114 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (447 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda2 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda2 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 115 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (121 enodes)
* * [misc]simplify:  iters left: 4 (365 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 116 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (135 enodes)
* * [misc]simplify:  iters left: 4 (401 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 117 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (413 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 118 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (410 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 119 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (123 enodes)
* * [misc]simplify:  iters left: 4 (373 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 120 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (410 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 121 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (128 enodes)
* * [misc]simplify:  iters left: 4 (380 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 122 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (138 enodes)
* * [misc]simplify:  iters left: 4 (446 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 123 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* * [misc]simplify:  iters left: 4 (364 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 124 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (400 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (+ lambda2 lambda1) (cos (/ (+ phi2 phi1) 2))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (+ lambda2 lambda1) (cos (/ (+ phi2 phi1) 2))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (+ lambda2 lambda1) (cos (/ (+ phi2 phi1) 2))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (+ lambda2 lambda1) (cos (/ (+ phi2 phi1) 2))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 125 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (412 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 126 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (379 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 127 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (410 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 128 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (124 enodes)
* * [misc]simplify:  iters left: 4 (372 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 129 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (410 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 130 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (138 enodes)
* * [misc]simplify:  iters left: 4 (448 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 131 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* * [misc]simplify:  iters left: 4 (366 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (pow phi1 3) (pow phi2 3))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (pow phi1 3) (pow phi2 3))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 132 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (402 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 133 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (414 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 134 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (132 enodes)
* * [misc]simplify:  iters left: 4 (411 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 135 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (128 enodes)
* * [misc]simplify:  iters left: 4 (380 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 136 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (410 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 137 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (124 enodes)
* * [misc]simplify:  iters left: 4 (374 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 138 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (125 enodes)
* * [misc]simplify:  iters left: 4 (390 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 139 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (135 enodes)
* * [misc]simplify:  iters left: 4 (414 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 140 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (121 enodes)
* * [misc]simplify:  iters left: 4 (378 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 141 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (139 enodes)
* * [misc]simplify:  iters left: 4 (435 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 142 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (439 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 143 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (443 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 144 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (440 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 145 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (443 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 146 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (431 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 147 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (124 enodes)
* * [misc]simplify:  iters left: 4 (375 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 148 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* * [misc]simplify:  iters left: 4 (353 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 149 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (400 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 150 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (135 enodes)
* * [misc]simplify:  iters left: 4 (408 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 151 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (135 enodes)
* * [misc]simplify:  iters left: 4 (410 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 152 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (409 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 153 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (411 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 154 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (123 enodes)
* * [misc]simplify:  iters left: 4 (388 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 155 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (123 enodes)
* * [misc]simplify:  iters left: 4 (364 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 156 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (43 enodes)
* * [misc]simplify:  iters left: 5 (106 enodes)
* * [misc]simplify:  iters left: 4 (309 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 157 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (124 enodes)
* * [misc]simplify:  iters left: 4 (358 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 158 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (121 enodes)
* * [misc]simplify:  iters left: 4 (364 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 159 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* * [misc]simplify:  iters left: 4 (368 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 160 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* * [misc]simplify:  iters left: 4 (365 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 161 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* * [misc]simplify:  iters left: 4 (368 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 162 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (139 enodes)
* * [misc]simplify:  iters left: 4 (435 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 163 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (135 enodes)
* * [misc]simplify:  iters left: 4 (383 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 164 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* * [misc]simplify:  iters left: 4 (348 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 165 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (126 enodes)
* * [misc]simplify:  iters left: 4 (360 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 166 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (409 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 167 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (412 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 168 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (138 enodes)
* * [misc]simplify:  iters left: 4 (410 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 169 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (138 enodes)
* * [misc]simplify:  iters left: 4 (413 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 170 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (439 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 171 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (135 enodes)
* * [misc]simplify:  iters left: 4 (399 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 172 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (121 enodes)
* * [misc]simplify:  iters left: 4 (358 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 173 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (409 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 174 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (123 enodes)
* * [misc]simplify:  iters left: 4 (366 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 175 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (405 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 176 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (128 enodes)
* * [misc]simplify:  iters left: 4 (373 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 177 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (405 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda1 lambda2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda1 lambda2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 178 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (443 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 179 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (135 enodes)
* * [misc]simplify:  iters left: 4 (401 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 180 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* * [misc]simplify:  iters left: 4 (362 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 181 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (412 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 182 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (405 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 183 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (124 enodes)
* * [misc]simplify:  iters left: 4 (370 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 184 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (132 enodes)
* * [misc]simplify:  iters left: 4 (406 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 185 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (377 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 186 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (440 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 187 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (400 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 188 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* * [misc]simplify:  iters left: 4 (359 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 189 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (138 enodes)
* * [misc]simplify:  iters left: 4 (410 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 190 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (128 enodes)
* * [misc]simplify:  iters left: 4 (373 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 191 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (132 enodes)
* * [misc]simplify:  iters left: 4 (406 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 192 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (124 enodes)
* * [misc]simplify:  iters left: 4 (367 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 193 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (405 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda1 lambda2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda1 lambda2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 194 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (443 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 195 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (402 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 196 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* * [misc]simplify:  iters left: 4 (362 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 197 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (138 enodes)
* * [misc]simplify:  iters left: 4 (413 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 198 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (405 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 199 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (377 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 200 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (405 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 201 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (124 enodes)
* * [misc]simplify:  iters left: 4 (370 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 202 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (124 enodes)
* * [misc]simplify:  iters left: 4 (353 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 203 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (139 enodes)
* * [misc]simplify:  iters left: 4 (437 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 204 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (139 enodes)
* * [misc]simplify:  iters left: 4 (435 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 205 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (120 enodes)
* * [misc]simplify:  iters left: 4 (341 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 206 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (135 enodes)
* * [misc]simplify:  iters left: 4 (403 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 207 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (135 enodes)
* * [misc]simplify:  iters left: 4 (405 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 208 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (404 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 209 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (406 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 210 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (139 enodes)
* * [misc]simplify:  iters left: 4 (437 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 211 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (125 enodes)
* * [misc]simplify:  iters left: 4 (361 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 212 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (403 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 213 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (121 enodes)
* * [misc]simplify:  iters left: 4 (349 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 214 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (412 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 215 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (413 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 216 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (412 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 217 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (414 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 218 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (139 enodes)
* * [misc]simplify:  iters left: 4 (435 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 219 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (403 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 220 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (126 enodes)
* * [misc]simplify:  iters left: 4 (360 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 221 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* * [misc]simplify:  iters left: 4 (348 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 222 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (409 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 223 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (412 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 224 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (138 enodes)
* * [misc]simplify:  iters left: 4 (410 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 225 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (138 enodes)
* * [misc]simplify:  iters left: 4 (413 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 226 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* * [misc]simplify:  iters left: 4 (351 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 227 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (123 enodes)
* * [misc]simplify:  iters left: 4 (359 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 228 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (124 enodes)
* * [misc]simplify:  iters left: 4 (358 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 229 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (84 enodes)
* * [misc]simplify:  iters left: 4 (233 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 230 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (120 enodes)
* * [misc]simplify:  iters left: 4 (322 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 231 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (41 enodes)
* * [misc]simplify:  iters left: 5 (99 enodes)
* * [misc]simplify:  iters left: 4 (291 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 232 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (120 enodes)
* * [misc]simplify:  iters left: 4 (322 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 233 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (41 enodes)
* * [misc]simplify:  iters left: 5 (100 enodes)
* * [misc]simplify:  iters left: 4 (292 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 234 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (135 enodes)
* * [misc]simplify:  iters left: 4 (403 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 235 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (412 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 236 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (409 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 237 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (120 enodes)
* * [misc]simplify:  iters left: 4 (316 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 238 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* * [misc]simplify:  iters left: 4 (324 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 239 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (362 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 240 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (127 enodes)
* * [misc]simplify:  iters left: 4 (331 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 241 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (130 enodes)
* * [misc]simplify:  iters left: 4 (363 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 242 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (135 enodes)
* * [misc]simplify:  iters left: 4 (405 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 243 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (413 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 244 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (412 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 245 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (41 enodes)
* * [misc]simplify:  iters left: 5 (98 enodes)
* * [misc]simplify:  iters left: 4 (283 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 246 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (362 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 247 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (41 enodes)
* * [misc]simplify:  iters left: 5 (101 enodes)
* * [misc]simplify:  iters left: 4 (293 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 248 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (362 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 249 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (43 enodes)
* * [misc]simplify:  iters left: 5 (106 enodes)
* * [misc]simplify:  iters left: 4 (310 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 250 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (404 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 251 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (412 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 252 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (138 enodes)
* * [misc]simplify:  iters left: 4 (410 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 253 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (120 enodes)
* * [misc]simplify:  iters left: 4 (316 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 254 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (127 enodes)
* * [misc]simplify:  iters left: 4 (331 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 255 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (362 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 256 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* * [misc]simplify:  iters left: 4 (324 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 257 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (362 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 258 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (406 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 259 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (414 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 260 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (138 enodes)
* * [misc]simplify:  iters left: 4 (413 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 261 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (41 enodes)
* * [misc]simplify:  iters left: 5 (99 enodes)
* * [misc]simplify:  iters left: 4 (284 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 262 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (130 enodes)
* * [misc]simplify:  iters left: 4 (363 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 263 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (43 enodes)
* * [misc]simplify:  iters left: 5 (106 enodes)
* * [misc]simplify:  iters left: 4 (310 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 264 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (362 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 265 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (41 enodes)
* * [misc]simplify:  iters left: 5 (102 enodes)
* * [misc]simplify:  iters left: 4 (294 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 266 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (45 enodes)
* * [misc]simplify:  iters left: 5 (114 enodes)
* * [misc]simplify:  iters left: 4 (338 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 267 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (445 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 268 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (439 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 269 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (135 enodes)
* * [misc]simplify:  iters left: 4 (403 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 270 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (45 enodes)
* * [misc]simplify:  iters left: 5 (111 enodes)
* * [misc]simplify:  iters left: 4 (328 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 271 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (397 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 272 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (117 enodes)
* * [misc]simplify:  iters left: 4 (342 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 273 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (397 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 274 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (445 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 275 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (124 enodes)
* * [misc]simplify:  iters left: 4 (372 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 276 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (135 enodes)
* * [misc]simplify:  iters left: 4 (408 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 277 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (412 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 278 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* * [misc]simplify:  iters left: 4 (364 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 279 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (410 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 280 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (128 enodes)
* * [misc]simplify:  iters left: 4 (377 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 281 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (132 enodes)
* * [misc]simplify:  iters left: 4 (411 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 282 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (439 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 283 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (135 enodes)
* * [misc]simplify:  iters left: 4 (408 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 284 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (123 enodes)
* * [misc]simplify:  iters left: 4 (366 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (+ lambda2 lambda1) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (+ lambda2 lambda1) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (+ lambda2 lambda1) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (+ lambda2 lambda1) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 285 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (409 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 286 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (121 enodes)
* * [misc]simplify:  iters left: 4 (358 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 287 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (405 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 288 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (127 enodes)
* * [misc]simplify:  iters left: 4 (371 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 289 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (405 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 290 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (135 enodes)
* * [misc]simplify:  iters left: 4 (403 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 291 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (412 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 292 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (409 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 293 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* * [misc]simplify:  iters left: 4 (324 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 294 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (120 enodes)
* * [misc]simplify:  iters left: 4 (316 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 295 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (362 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 296 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (126 enodes)
* * [misc]simplify:  iters left: 4 (329 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 297 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (130 enodes)
* * [misc]simplify:  iters left: 4 (363 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 298 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (45 enodes)
* * [misc]simplify:  iters left: 5 (112 enodes)
* * [misc]simplify:  iters left: 4 (336 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 299 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* * [misc]simplify:  iters left: 4 (370 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 300 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (121 enodes)
* * [misc]simplify:  iters left: 4 (364 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 301 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (120 enodes)
* * [misc]simplify:  iters left: 4 (322 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 302 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (41 enodes)
* * [misc]simplify:  iters left: 5 (95 enodes)
* * [misc]simplify:  iters left: 4 (251 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 303 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (114 enodes)
* * [misc]simplify:  iters left: 4 (320 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 304 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (43 enodes)
* * [misc]simplify:  iters left: 5 (102 enodes)
* * [misc]simplify:  iters left: 4 (273 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 305 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (114 enodes)
* * [misc]simplify:  iters left: 4 (320 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 306 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (397 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 307 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (410 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 308 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (405 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 309 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (362 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 310 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (113 enodes)
* * [misc]simplify:  iters left: 4 (312 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 311 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (116 enodes)
* * [misc]simplify:  iters left: 4 (322 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 312 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (119 enodes)
* * [misc]simplify:  iters left: 4 (324 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 313 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (121 enodes)
* * [misc]simplify:  iters left: 4 (330 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 314 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (118 enodes)
* * [misc]simplify:  iters left: 4 (353 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 315 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (128 enodes)
* * [misc]simplify:  iters left: 4 (387 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 316 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (127 enodes)
* * [misc]simplify:  iters left: 4 (381 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 317 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (126 enodes)
* * [misc]simplify:  iters left: 4 (339 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 318 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (43 enodes)
* * [misc]simplify:  iters left: 5 (103 enodes)
* * [misc]simplify:  iters left: 4 (269 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 319 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (120 enodes)
* * [misc]simplify:  iters left: 4 (337 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 320 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (43 enodes)
* * [misc]simplify:  iters left: 5 (103 enodes)
* * [misc]simplify:  iters left: 4 (272 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 321 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (119 enodes)
* * [misc]simplify:  iters left: 4 (336 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 322 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (397 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 323 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (132 enodes)
* * [misc]simplify:  iters left: 4 (411 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 324 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (405 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 325 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (130 enodes)
* * [misc]simplify:  iters left: 4 (363 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 326 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (113 enodes)
* * [misc]simplify:  iters left: 4 (312 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 327 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (121 enodes)
* * [misc]simplify:  iters left: 4 (330 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 328 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (118 enodes)
* * [misc]simplify:  iters left: 4 (323 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 329 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (116 enodes)
* * [misc]simplify:  iters left: 4 (322 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 330 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* * [misc]simplify:  iters left: 4 (361 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 331 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (447 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 332 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (443 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 333 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (135 enodes)
* * [misc]simplify:  iters left: 4 (405 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 334 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (397 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 335 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (120 enodes)
* * [misc]simplify:  iters left: 4 (353 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 336 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (130 enodes)
* * [misc]simplify:  iters left: 4 (398 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 337 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (126 enodes)
* * [misc]simplify:  iters left: 4 (366 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 338 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (447 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 339 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (123 enodes)
* * [misc]simplify:  iters left: 4 (373 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 340 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (135 enodes)
* * [misc]simplify:  iters left: 4 (410 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 341 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (413 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 342 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (410 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 343 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (121 enodes)
* * [misc]simplify:  iters left: 4 (365 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 344 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (410 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 345 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (127 enodes)
* * [misc]simplify:  iters left: 4 (378 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 346 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (443 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 347 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (135 enodes)
* * [misc]simplify:  iters left: 4 (410 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 348 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (124 enodes)
* * [misc]simplify:  iters left: 4 (370 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 349 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (412 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 350 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (405 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 351 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* * [misc]simplify:  iters left: 4 (362 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 352 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (132 enodes)
* * [misc]simplify:  iters left: 4 (406 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))) (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))) (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 353 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (128 enodes)
* * [misc]simplify:  iters left: 4 (375 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 354 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (135 enodes)
* * [misc]simplify:  iters left: 4 (405 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 355 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (413 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (- (pow phi1 3) (pow phi2 3))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 356 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (412 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 357 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (41 enodes)
* * [misc]simplify:  iters left: 5 (101 enodes)
* * [misc]simplify:  iters left: 4 (293 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 358 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (362 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 359 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (41 enodes)
* * [misc]simplify:  iters left: 5 (98 enodes)
* * [misc]simplify:  iters left: 4 (283 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 360 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (362 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 361 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (43 enodes)
* * [misc]simplify:  iters left: 5 (104 enodes)
* * [misc]simplify:  iters left: 4 (296 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 362 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (397 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 363 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (410 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 364 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (405 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 365 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (362 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 366 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (116 enodes)
* * [misc]simplify:  iters left: 4 (322 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 367 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (113 enodes)
* * [misc]simplify:  iters left: 4 (312 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 368 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (121 enodes)
* * [misc]simplify:  iters left: 4 (330 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 369 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (119 enodes)
* * [misc]simplify:  iters left: 4 (324 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 370 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (120 enodes)
* * [misc]simplify:  iters left: 4 (359 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 371 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (121 enodes)
* * [misc]simplify:  iters left: 4 (371 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 372 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* * [misc]simplify:  iters left: 4 (368 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 373 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (41 enodes)
* * [misc]simplify:  iters left: 5 (99 enodes)
* * [misc]simplify:  iters left: 4 (291 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 374 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (114 enodes)
* * [misc]simplify:  iters left: 4 (320 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 375 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (82 enodes)
* * [misc]simplify:  iters left: 4 (238 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ lambda1 lambda2) (- (pow phi1 3) (pow phi2 3))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ lambda1 lambda2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 376 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (114 enodes)
* * [misc]simplify:  iters left: 4 (320 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 377 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (39 enodes)
* * [misc]simplify:  iters left: 5 (90 enodes)
* * [misc]simplify:  iters left: 4 (261 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (- (pow phi1 3) (pow phi2 3)) (* (+ lambda1 lambda2) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (- (pow phi1 3) (pow phi2 3)) (* (+ lambda1 lambda2) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 378 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (130 enodes)
* * [misc]simplify:  iters left: 4 (398 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 379 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (410 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 380 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (132 enodes)
* * [misc]simplify:  iters left: 4 (406 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 381 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (362 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 382 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (121 enodes)
* * [misc]simplify:  iters left: 4 (330 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 383 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (113 enodes)
* * [misc]simplify:  iters left: 4 (312 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 384 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (116 enodes)
* * [misc]simplify:  iters left: 4 (322 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 385 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (118 enodes)
* * [misc]simplify:  iters left: 4 (323 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 386 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (126 enodes)
* * [misc]simplify:  iters left: 4 (377 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 387 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (127 enodes)
* * [misc]simplify:  iters left: 4 (389 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 388 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (128 enodes)
* * [misc]simplify:  iters left: 4 (386 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 389 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (43 enodes)
* * [misc]simplify:  iters left: 5 (105 enodes)
* * [misc]simplify:  iters left: 4 (309 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 390 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (120 enodes)
* * [misc]simplify:  iters left: 4 (337 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 391 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (39 enodes)
* * [misc]simplify:  iters left: 5 (90 enodes)
* * [misc]simplify:  iters left: 4 (260 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (- (pow phi1 3) (pow phi2 3)) (* (+ lambda1 lambda2) (- (pow phi1 3) (pow phi2 3)))) (* (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (- (pow phi1 3) (pow phi2 3)) (* (+ lambda1 lambda2) (- (pow phi1 3) (pow phi2 3)))) (* (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 392 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (119 enodes)
* * [misc]simplify:  iters left: 4 (336 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 393 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (39 enodes)
* * [misc]simplify:  iters left: 5 (90 enodes)
* * [misc]simplify:  iters left: 4 (257 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (- (pow phi1 3) (pow phi2 3)) (* (+ lambda1 lambda2) (- (pow phi1 3) (pow phi2 3)))) (* (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (- (pow phi1 3) (pow phi2 3)) (* (+ lambda1 lambda2) (- (pow phi1 3) (pow phi2 3)))) (* (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 394 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (45 enodes)
* * [misc]simplify:  iters left: 5 (115 enodes)
* * [misc]simplify:  iters left: 4 (339 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 395 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (138 enodes)
* * [misc]simplify:  iters left: 4 (446 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 396 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (440 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 397 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (404 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 398 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (117 enodes)
* * [misc]simplify:  iters left: 4 (342 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 399 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (130 enodes)
* * [misc]simplify:  iters left: 4 (398 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 400 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (45 enodes)
* * [misc]simplify:  iters left: 5 (112 enodes)
* * [misc]simplify:  iters left: 4 (329 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 401 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (397 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 402 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (138 enodes)
* * [misc]simplify:  iters left: 4 (446 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 403 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (124 enodes)
* * [misc]simplify:  iters left: 4 (372 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 404 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (409 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 405 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (412 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 406 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (128 enodes)
* * [misc]simplify:  iters left: 4 (377 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 407 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (410 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 408 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* * [misc]simplify:  iters left: 4 (364 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 409 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (410 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 410 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (440 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 411 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (409 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 412 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (124 enodes)
* * [misc]simplify:  iters left: 4 (367 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 413 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (138 enodes)
* * [misc]simplify:  iters left: 4 (410 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 414 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (127 enodes)
* * [misc]simplify:  iters left: 4 (371 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 415 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (132 enodes)
* * [misc]simplify:  iters left: 4 (406 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 416 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* * [misc]simplify:  iters left: 4 (359 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 417 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (405 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 418 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (404 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 419 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (412 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 420 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (138 enodes)
* * [misc]simplify:  iters left: 4 (410 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 421 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* * [misc]simplify:  iters left: 4 (324 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 422 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (126 enodes)
* * [misc]simplify:  iters left: 4 (329 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 423 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (362 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (cbrt (+ lambda2 lambda1)) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (cbrt (+ lambda2 lambda1)) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 424 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (120 enodes)
* * [misc]simplify:  iters left: 4 (316 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 425 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (362 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 426 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (118 enodes)
* * [misc]simplify:  iters left: 4 (353 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 427 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (128 enodes)
* * [misc]simplify:  iters left: 4 (387 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 428 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (127 enodes)
* * [misc]simplify:  iters left: 4 (381 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 429 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (126 enodes)
* * [misc]simplify:  iters left: 4 (339 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 430 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (43 enodes)
* * [misc]simplify:  iters left: 5 (103 enodes)
* * [misc]simplify:  iters left: 4 (272 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 431 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (120 enodes)
* * [misc]simplify:  iters left: 4 (337 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 432 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (43 enodes)
* * [misc]simplify:  iters left: 5 (103 enodes)
* * [misc]simplify:  iters left: 4 (269 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 433 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (119 enodes)
* * [misc]simplify:  iters left: 4 (336 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 434 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (130 enodes)
* * [misc]simplify:  iters left: 4 (398 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 435 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (410 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 436 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (132 enodes)
* * [misc]simplify:  iters left: 4 (406 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 437 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (362 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 438 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (119 enodes)
* * [misc]simplify:  iters left: 4 (324 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 439 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (116 enodes)
* * [misc]simplify:  iters left: 4 (322 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 440 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (113 enodes)
* * [misc]simplify:  iters left: 4 (312 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 441 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (120 enodes)
* * [misc]simplify:  iters left: 4 (329 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 442 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (45 enodes)
* * [misc]simplify:  iters left: 5 (113 enodes)
* * [misc]simplify:  iters left: 4 (337 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 443 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* * [misc]simplify:  iters left: 4 (370 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 444 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* * [misc]simplify:  iters left: 4 (365 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 445 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (120 enodes)
* * [misc]simplify:  iters left: 4 (322 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 446 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (43 enodes)
* * [misc]simplify:  iters left: 5 (102 enodes)
* * [misc]simplify:  iters left: 4 (273 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 447 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (114 enodes)
* * [misc]simplify:  iters left: 4 (320 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 448 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (41 enodes)
* * [misc]simplify:  iters left: 5 (95 enodes)
* * [misc]simplify:  iters left: 4 (251 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 449 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (113 enodes)
* * [misc]simplify:  iters left: 4 (319 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 450 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (397 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 451 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (410 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 452 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (405 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 453 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (362 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 454 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (118 enodes)
* * [misc]simplify:  iters left: 4 (323 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 455 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (120 enodes)
* * [misc]simplify:  iters left: 4 (329 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 456 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (112 enodes)
* * [misc]simplify:  iters left: 4 (311 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 457 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (115 enodes)
* * [misc]simplify:  iters left: 4 (321 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 458 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* * [misc]simplify:  iters left: 4 (361 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 459 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (138 enodes)
* * [misc]simplify:  iters left: 4 (448 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 460 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (443 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 461 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (406 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 462 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (397 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))))))) (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))))))) (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 463 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (126 enodes)
* * [misc]simplify:  iters left: 4 (366 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 464 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (397 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))))))) (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))))))) (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 465 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (120 enodes)
* * [misc]simplify:  iters left: 4 (353 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (+ lambda1 lambda2)) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (+ lambda1 lambda2)) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 466 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (138 enodes)
* * [misc]simplify:  iters left: 4 (448 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 467 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (124 enodes)
* * [misc]simplify:  iters left: 4 (374 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 468 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (411 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 469 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (414 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 470 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (132 enodes)
* * [misc]simplify:  iters left: 4 (411 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 471 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (127 enodes)
* * [misc]simplify:  iters left: 4 (378 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 472 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (410 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 473 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* * [misc]simplify:  iters left: 4 (366 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 474 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (443 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 475 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (411 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 476 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (124 enodes)
* * [misc]simplify:  iters left: 4 (370 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 477 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (138 enodes)
* * [misc]simplify:  iters left: 4 (413 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 478 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (405 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 479 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (128 enodes)
* * [misc]simplify:  iters left: 4 (375 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 480 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (405 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 481 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* * [misc]simplify:  iters left: 4 (362 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 482 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (406 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 483 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (414 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ lambda1 lambda2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 484 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (138 enodes)
* * [misc]simplify:  iters left: 4 (413 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 485 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (41 enodes)
* * [misc]simplify:  iters left: 5 (102 enodes)
* * [misc]simplify:  iters left: 4 (294 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 486 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (130 enodes)
* * [misc]simplify:  iters left: 4 (363 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 487 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (43 enodes)
* * [misc]simplify:  iters left: 5 (104 enodes)
* * [misc]simplify:  iters left: 4 (296 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 488 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (362 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 489 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (41 enodes)
* * [misc]simplify:  iters left: 5 (99 enodes)
* * [misc]simplify:  iters left: 4 (284 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 490 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (397 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 491 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (132 enodes)
* * [misc]simplify:  iters left: 4 (411 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 492 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (405 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 493 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (130 enodes)
* * [misc]simplify:  iters left: 4 (363 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 494 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (116 enodes)
* * [misc]simplify:  iters left: 4 (322 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 495 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (119 enodes)
* * [misc]simplify:  iters left: 4 (324 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 496 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (120 enodes)
* * [misc]simplify:  iters left: 4 (329 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 497 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (113 enodes)
* * [misc]simplify:  iters left: 4 (312 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 498 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (126 enodes)
* * [misc]simplify:  iters left: 4 (377 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 499 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (127 enodes)
* * [misc]simplify:  iters left: 4 (389 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 500 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (128 enodes)
* * [misc]simplify:  iters left: 4 (386 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 501 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (43 enodes)
* * [misc]simplify:  iters left: 5 (105 enodes)
* * [misc]simplify:  iters left: 4 (309 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 502 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (120 enodes)
* * [misc]simplify:  iters left: 4 (337 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 503 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (39 enodes)
* * [misc]simplify:  iters left: 5 (90 enodes)
* * [misc]simplify:  iters left: 4 (257 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (- (pow phi1 3) (pow phi2 3)) (* (+ lambda1 lambda2) (- (pow phi1 3) (pow phi2 3)))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (- (pow phi1 3) (pow phi2 3)) (* (+ lambda1 lambda2) (- (pow phi1 3) (pow phi2 3)))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 504 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (119 enodes)
* * [misc]simplify:  iters left: 4 (336 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 505 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (39 enodes)
* * [misc]simplify:  iters left: 5 (90 enodes)
* * [misc]simplify:  iters left: 4 (260 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (- (pow phi1 3) (pow phi2 3)) (* (+ lambda1 lambda2) (- (pow phi1 3) (pow phi2 3)))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (- (pow phi1 3) (pow phi2 3)) (* (+ lambda1 lambda2) (- (pow phi1 3) (pow phi2 3)))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 506 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (397 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 507 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (410 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 508 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (405 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 509 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (51 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (362 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 510 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (120 enodes)
* * [misc]simplify:  iters left: 4 (329 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 511 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (118 enodes)
* * [misc]simplify:  iters left: 4 (323 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 512 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (115 enodes)
* * [misc]simplify:  iters left: 4 (321 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 513 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (112 enodes)
* * [misc]simplify:  iters left: 4 (311 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 514 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (120 enodes)
* * [misc]simplify:  iters left: 4 (359 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 515 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* * [misc]simplify:  iters left: 4 (372 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 516 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* * [misc]simplify:  iters left: 4 (368 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 517 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (41 enodes)
* * [misc]simplify:  iters left: 5 (100 enodes)
* * [misc]simplify:  iters left: 4 (292 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 518 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (114 enodes)
* * [misc]simplify:  iters left: 4 (320 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 519 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (39 enodes)
* * [misc]simplify:  iters left: 5 (90 enodes)
* * [misc]simplify:  iters left: 4 (261 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (- (pow phi1 3) (pow phi2 3)) (* (+ lambda1 lambda2) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (- (pow phi1 3) (pow phi2 3)) (* (+ lambda1 lambda2) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 520 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (113 enodes)
* * [misc]simplify:  iters left: 4 (319 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 521 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (82 enodes)
* * [misc]simplify:  iters left: 4 (238 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ lambda1 lambda2) (- (pow phi1 3) (pow phi2 3))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ lambda1 lambda2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 522 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (43 enodes)
* * [misc]simplify:  iters left: 5 (108 enodes)
* * [misc]simplify:  iters left: 4 (310 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (pow phi1 3) (pow phi2 3))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 523 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (132 enodes)
* * [misc]simplify:  iters left: 4 (418 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 524 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (413 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 525 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (130 enodes)
* * [misc]simplify:  iters left: 4 (376 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 526 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (46 enodes)
* * [misc]simplify:  iters left: 5 (116 enodes)
* * [misc]simplify:  iters left: 4 (347 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 527 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (124 enodes)
* * [misc]simplify:  iters left: 4 (370 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 528 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (46 enodes)
* * [misc]simplify:  iters left: 5 (116 enodes)
* * [misc]simplify:  iters left: 4 (347 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 529 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (123 enodes)
* * [misc]simplify:  iters left: 4 (368 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 530 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (132 enodes)
* * [misc]simplify:  iters left: 4 (418 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (- (pow phi1 3) (pow phi2 3)))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (- (pow phi1 3) (pow phi2 3)))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 531 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (46 enodes)
* * [misc]simplify:  iters left: 5 (117 enodes)
* * [misc]simplify:  iters left: 4 (343 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (pow phi1 3) (pow phi2 3)))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (pow phi1 3) (pow phi2 3)))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 532 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (130 enodes)
* * [misc]simplify:  iters left: 4 (372 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (- (pow phi1 3) (pow phi2 3)))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (- (pow phi1 3) (pow phi2 3)))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 533 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (384 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 534 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (126 enodes)
* * [misc]simplify:  iters left: 4 (381 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 535 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (125 enodes)
* * [misc]simplify:  iters left: 4 (382 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 536 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (125 enodes)
* * [misc]simplify:  iters left: 4 (380 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 537 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (125 enodes)
* * [misc]simplify:  iters left: 4 (381 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 538 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (413 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 539 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (130 enodes)
* * [misc]simplify:  iters left: 4 (372 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 540 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (46 enodes)
* * [misc]simplify:  iters left: 5 (117 enodes)
* * [misc]simplify:  iters left: 4 (339 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 541 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (132 enodes)
* * [misc]simplify:  iters left: 4 (383 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 542 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (125 enodes)
* * [misc]simplify:  iters left: 4 (375 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 543 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (126 enodes)
* * [misc]simplify:  iters left: 4 (379 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 544 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (125 enodes)
* * [misc]simplify:  iters left: 4 (375 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 545 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (125 enodes)
* * [misc]simplify:  iters left: 4 (377 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 546 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (130 enodes)
* * [misc]simplify:  iters left: 4 (376 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 547 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (384 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 548 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (132 enodes)
* * [misc]simplify:  iters left: 4 (383 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 549 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (39 enodes)
* * [misc]simplify:  iters left: 5 (95 enodes)
* * [misc]simplify:  iters left: 4 (263 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 550 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (124 enodes)
* * [misc]simplify:  iters left: 4 (333 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 551 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (42 enodes)
* * [misc]simplify:  iters left: 5 (103 enodes)
* * [misc]simplify:  iters left: 4 (302 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 552 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (123 enodes)
* * [misc]simplify:  iters left: 4 (332 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 553 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (42 enodes)
* * [misc]simplify:  iters left: 5 (103 enodes)
* * [misc]simplify:  iters left: 4 (301 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 554 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (46 enodes)
* * [misc]simplify:  iters left: 5 (116 enodes)
* * [misc]simplify:  iters left: 4 (347 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 555 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (126 enodes)
* * [misc]simplify:  iters left: 4 (381 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 556 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (125 enodes)
* * [misc]simplify:  iters left: 4 (375 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 557 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (124 enodes)
* * [misc]simplify:  iters left: 4 (333 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 558 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (42 enodes)
* * [misc]simplify:  iters left: 5 (102 enodes)
* * [misc]simplify:  iters left: 4 (267 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 559 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (118 enodes)
* * [misc]simplify:  iters left: 4 (331 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 560 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (44 enodes)
* * [misc]simplify:  iters left: 5 (106 enodes)
* * [misc]simplify:  iters left: 4 (283 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (* (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (* (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 561 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (117 enodes)
* * [misc]simplify:  iters left: 4 (329 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 562 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (124 enodes)
* * [misc]simplify:  iters left: 4 (370 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 563 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (125 enodes)
* * [misc]simplify:  iters left: 4 (382 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 564 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (126 enodes)
* * [misc]simplify:  iters left: 4 (379 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 565 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (42 enodes)
* * [misc]simplify:  iters left: 5 (103 enodes)
* * [misc]simplify:  iters left: 4 (302 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ lambda1 lambda2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ lambda1 lambda2))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 566 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (118 enodes)
* * [misc]simplify:  iters left: 4 (331 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 567 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (38 enodes)
* * [misc]simplify:  iters left: 5 (89 enodes)
* * [misc]simplify:  iters left: 4 (254 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 568 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (117 enodes)
* * [misc]simplify:  iters left: 4 (330 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 569 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (40 enodes)
* * [misc]simplify:  iters left: 5 (93 enodes)
* * [misc]simplify:  iters left: 4 (272 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 570 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (46 enodes)
* * [misc]simplify:  iters left: 5 (116 enodes)
* * [misc]simplify:  iters left: 4 (347 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 571 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (125 enodes)
* * [misc]simplify:  iters left: 4 (380 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 572 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (125 enodes)
* * [misc]simplify:  iters left: 4 (375 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 573 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (123 enodes)
* * [misc]simplify:  iters left: 4 (332 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 574 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (44 enodes)
* * [misc]simplify:  iters left: 5 (106 enodes)
* * [misc]simplify:  iters left: 4 (283 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (* (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (* (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 575 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (117 enodes)
* * [misc]simplify:  iters left: 4 (330 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 576 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (42 enodes)
* * [misc]simplify:  iters left: 5 (101 enodes)
* * [misc]simplify:  iters left: 4 (266 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (- (pow phi1 3) (pow phi2 3))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 577 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (116 enodes)
* * [misc]simplify:  iters left: 4 (328 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 578 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (123 enodes)
* * [misc]simplify:  iters left: 4 (368 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 579 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (125 enodes)
* * [misc]simplify:  iters left: 4 (381 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 580 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (125 enodes)
* * [misc]simplify:  iters left: 4 (377 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 581 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (42 enodes)
* * [misc]simplify:  iters left: 5 (103 enodes)
* * [misc]simplify:  iters left: 4 (301 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 582 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (117 enodes)
* * [misc]simplify:  iters left: 4 (329 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 583 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (40 enodes)
* * [misc]simplify:  iters left: 5 (93 enodes)
* * [misc]simplify:  iters left: 4 (272 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 584 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (116 enodes)
* * [misc]simplify:  iters left: 4 (328 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 585 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (38 enodes)
* * [misc]simplify:  iters left: 5 (88 enodes)
* * [misc]simplify:  iters left: 4 (252 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 586 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (43 enodes)
* * [misc]simplify:  iters left: 5 (106 enodes)
* * [misc]simplify:  iters left: 4 (304 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (pow phi1 3) (pow phi2 3))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 587 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (132 enodes)
* * [misc]simplify:  iters left: 4 (418 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 588 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (413 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 589 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (130 enodes)
* * [misc]simplify:  iters left: 4 (376 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 590 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (46 enodes)
* * [misc]simplify:  iters left: 5 (116 enodes)
* * [misc]simplify:  iters left: 4 (347 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 591 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (124 enodes)
* * [misc]simplify:  iters left: 4 (370 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 592 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (46 enodes)
* * [misc]simplify:  iters left: 5 (116 enodes)
* * [misc]simplify:  iters left: 4 (347 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 593 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (123 enodes)
* * [misc]simplify:  iters left: 4 (368 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 594 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (132 enodes)
* * [misc]simplify:  iters left: 4 (418 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 595 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (46 enodes)
* * [misc]simplify:  iters left: 5 (115 enodes)
* * [misc]simplify:  iters left: 4 (337 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (- (pow phi1 3) (pow phi2 3)))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (- (pow phi1 3) (pow phi2 3)))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 596 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (130 enodes)
* * [misc]simplify:  iters left: 4 (373 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (pow phi1 3) (pow phi2 3)))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (pow phi1 3) (pow phi2 3)))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 597 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (384 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 598 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (126 enodes)
* * [misc]simplify:  iters left: 4 (381 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 599 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (125 enodes)
* * [misc]simplify:  iters left: 4 (382 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 600 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (125 enodes)
* * [misc]simplify:  iters left: 4 (380 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 601 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (125 enodes)
* * [misc]simplify:  iters left: 4 (381 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 602 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (413 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 603 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (130 enodes)
* * [misc]simplify:  iters left: 4 (373 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 604 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (46 enodes)
* * [misc]simplify:  iters left: 5 (115 enodes)
* * [misc]simplify:  iters left: 4 (333 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 605 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (132 enodes)
* * [misc]simplify:  iters left: 4 (383 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 606 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (125 enodes)
* * [misc]simplify:  iters left: 4 (375 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 607 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (126 enodes)
* * [misc]simplify:  iters left: 4 (379 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 608 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (125 enodes)
* * [misc]simplify:  iters left: 4 (375 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 609 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (125 enodes)
* * [misc]simplify:  iters left: 4 (377 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 610 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (130 enodes)
* * [misc]simplify:  iters left: 4 (376 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 611 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (384 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 612 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (132 enodes)
* * [misc]simplify:  iters left: 4 (383 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 613 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (39 enodes)
* * [misc]simplify:  iters left: 5 (93 enodes)
* * [misc]simplify:  iters left: 4 (257 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 614 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (124 enodes)
* * [misc]simplify:  iters left: 4 (333 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 615 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (42 enodes)
* * [misc]simplify:  iters left: 5 (103 enodes)
* * [misc]simplify:  iters left: 4 (302 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 616 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (123 enodes)
* * [misc]simplify:  iters left: 4 (332 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 617 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (42 enodes)
* * [misc]simplify:  iters left: 5 (103 enodes)
* * [misc]simplify:  iters left: 4 (301 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 618 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (46 enodes)
* * [misc]simplify:  iters left: 5 (116 enodes)
* * [misc]simplify:  iters left: 4 (347 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 619 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (126 enodes)
* * [misc]simplify:  iters left: 4 (381 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 620 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (125 enodes)
* * [misc]simplify:  iters left: 4 (375 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (+ lambda2 lambda1) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (+ lambda2 lambda1) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 621 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (124 enodes)
* * [misc]simplify:  iters left: 4 (333 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 622 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (42 enodes)
* * [misc]simplify:  iters left: 5 (100 enodes)
* * [misc]simplify:  iters left: 4 (261 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 623 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (118 enodes)
* * [misc]simplify:  iters left: 4 (331 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 624 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (44 enodes)
* * [misc]simplify:  iters left: 5 (105 enodes)
* * [misc]simplify:  iters left: 4 (272 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 625 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (117 enodes)
* * [misc]simplify:  iters left: 4 (329 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 626 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (124 enodes)
* * [misc]simplify:  iters left: 4 (370 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 627 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (125 enodes)
* * [misc]simplify:  iters left: 4 (382 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 628 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (126 enodes)
* * [misc]simplify:  iters left: 4 (379 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 629 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (42 enodes)
* * [misc]simplify:  iters left: 5 (103 enodes)
* * [misc]simplify:  iters left: 4 (302 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ lambda1 lambda2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ lambda1 lambda2))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 630 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (118 enodes)
* * [misc]simplify:  iters left: 4 (331 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 631 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (38 enodes)
* * [misc]simplify:  iters left: 5 (87 enodes)
* * [misc]simplify:  iters left: 4 (248 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 632 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (117 enodes)
* * [misc]simplify:  iters left: 4 (330 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 633 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (40 enodes)
* * [misc]simplify:  iters left: 5 (93 enodes)
* * [misc]simplify:  iters left: 4 (264 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 634 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (46 enodes)
* * [misc]simplify:  iters left: 5 (116 enodes)
* * [misc]simplify:  iters left: 4 (347 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 635 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (125 enodes)
* * [misc]simplify:  iters left: 4 (380 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 636 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (125 enodes)
* * [misc]simplify:  iters left: 4 (375 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 637 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (123 enodes)
* * [misc]simplify:  iters left: 4 (332 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 638 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (44 enodes)
* * [misc]simplify:  iters left: 5 (105 enodes)
* * [misc]simplify:  iters left: 4 (272 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 639 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (117 enodes)
* * [misc]simplify:  iters left: 4 (330 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 640 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (42 enodes)
* * [misc]simplify:  iters left: 5 (99 enodes)
* * [misc]simplify:  iters left: 4 (260 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (- (pow phi1 3) (pow phi2 3))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 641 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (116 enodes)
* * [misc]simplify:  iters left: 4 (328 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 642 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (123 enodes)
* * [misc]simplify:  iters left: 4 (368 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 643 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (125 enodes)
* * [misc]simplify:  iters left: 4 (381 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 644 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (125 enodes)
* * [misc]simplify:  iters left: 4 (377 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 645 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (42 enodes)
* * [misc]simplify:  iters left: 5 (103 enodes)
* * [misc]simplify:  iters left: 4 (301 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 646 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (117 enodes)
* * [misc]simplify:  iters left: 4 (329 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 647 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (40 enodes)
* * [misc]simplify:  iters left: 5 (93 enodes)
* * [misc]simplify:  iters left: 4 (264 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 648 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (116 enodes)
* * [misc]simplify:  iters left: 4 (328 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 649 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (38 enodes)
* * [misc]simplify:  iters left: 5 (86 enodes)
* * [misc]simplify:  iters left: 4 (246 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 650 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (42 enodes)
* * [misc]simplify:  iters left: 5 (104 enodes)
* * [misc]simplify:  iters left: 4 (301 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 651 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (45 enodes)
* * [misc]simplify:  iters left: 5 (113 enodes)
* * [misc]simplify:  iters left: 4 (334 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 652 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (45 enodes)
* * [misc]simplify:  iters left: 5 (113 enodes)
* * [misc]simplify:  iters left: 4 (330 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 653 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (38 enodes)
* * [misc]simplify:  iters left: 5 (91 enodes)
* * [misc]simplify:  iters left: 4 (254 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 654 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (41 enodes)
* * [misc]simplify:  iters left: 5 (98 enodes)
* * [misc]simplify:  iters left: 4 (258 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 655 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (cbrt (+ lambda1 lambda2))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (85 enodes)
* * [misc]simplify:  iters left: 4 (245 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (cbrt (+ lambda1 lambda2))))) R))
* * * * [misc]progress:  [ 656 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (41 enodes)
* * [misc]simplify:  iters left: 5 (97 enodes)
* * [misc]simplify:  iters left: 4 (257 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 657 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (cbrt (+ lambda1 lambda2))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (84 enodes)
* * [misc]simplify:  iters left: 4 (243 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (cbrt (+ lambda1 lambda2))))) R))
* * * * [misc]progress:  [ 658 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (43 enodes)
* * [misc]simplify:  iters left: 5 (107 enodes)
* * [misc]simplify:  iters left: 4 (309 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (pow phi1 3) (pow phi2 3))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 659 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (132 enodes)
* * [misc]simplify:  iters left: 4 (418 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 660 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (413 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 661 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (130 enodes)
* * [misc]simplify:  iters left: 4 (376 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 662 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (46 enodes)
* * [misc]simplify:  iters left: 5 (116 enodes)
* * [misc]simplify:  iters left: 4 (347 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 663 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (124 enodes)
* * [misc]simplify:  iters left: 4 (370 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 664 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (46 enodes)
* * [misc]simplify:  iters left: 5 (116 enodes)
* * [misc]simplify:  iters left: 4 (347 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 665 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (123 enodes)
* * [misc]simplify:  iters left: 4 (368 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 666 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (132 enodes)
* * [misc]simplify:  iters left: 4 (418 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 667 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (46 enodes)
* * [misc]simplify:  iters left: 5 (116 enodes)
* * [misc]simplify:  iters left: 4 (342 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (pow phi1 3) (pow phi2 3)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (pow phi1 3) (pow phi2 3)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 668 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (130 enodes)
* * [misc]simplify:  iters left: 4 (382 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (pow phi1 3) (pow phi2 3)))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (pow phi1 3) (pow phi2 3)))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 669 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (384 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 670 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (126 enodes)
* * [misc]simplify:  iters left: 4 (381 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 671 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (125 enodes)
* * [misc]simplify:  iters left: 4 (382 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 672 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (125 enodes)
* * [misc]simplify:  iters left: 4 (380 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 673 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (125 enodes)
* * [misc]simplify:  iters left: 4 (381 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 674 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (413 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 675 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (130 enodes)
* * [misc]simplify:  iters left: 4 (382 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 676 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (46 enodes)
* * [misc]simplify:  iters left: 5 (116 enodes)
* * [misc]simplify:  iters left: 4 (338 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 677 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (132 enodes)
* * [misc]simplify:  iters left: 4 (383 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 678 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (125 enodes)
* * [misc]simplify:  iters left: 4 (375 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 679 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (126 enodes)
* * [misc]simplify:  iters left: 4 (379 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 680 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (125 enodes)
* * [misc]simplify:  iters left: 4 (375 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 681 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (125 enodes)
* * [misc]simplify:  iters left: 4 (377 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 682 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (130 enodes)
* * [misc]simplify:  iters left: 4 (376 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 683 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (384 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 684 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (132 enodes)
* * [misc]simplify:  iters left: 4 (383 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 685 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (39 enodes)
* * [misc]simplify:  iters left: 5 (94 enodes)
* * [misc]simplify:  iters left: 4 (262 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 686 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (124 enodes)
* * [misc]simplify:  iters left: 4 (333 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 687 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (42 enodes)
* * [misc]simplify:  iters left: 5 (103 enodes)
* * [misc]simplify:  iters left: 4 (302 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 688 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (123 enodes)
* * [misc]simplify:  iters left: 4 (332 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 689 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (42 enodes)
* * [misc]simplify:  iters left: 5 (103 enodes)
* * [misc]simplify:  iters left: 4 (301 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 690 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (46 enodes)
* * [misc]simplify:  iters left: 5 (116 enodes)
* * [misc]simplify:  iters left: 4 (347 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 691 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (126 enodes)
* * [misc]simplify:  iters left: 4 (381 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 692 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (125 enodes)
* * [misc]simplify:  iters left: 4 (375 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 693 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (124 enodes)
* * [misc]simplify:  iters left: 4 (333 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 694 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (42 enodes)
* * [misc]simplify:  iters left: 5 (101 enodes)
* * [misc]simplify:  iters left: 4 (266 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (- (pow phi1 3) (pow phi2 3))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 695 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (118 enodes)
* * [misc]simplify:  iters left: 4 (331 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 696 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (44 enodes)
* * [misc]simplify:  iters left: 5 (106 enodes)
* * [misc]simplify:  iters left: 4 (279 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (* (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (* (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 697 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (117 enodes)
* * [misc]simplify:  iters left: 4 (329 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 698 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (124 enodes)
* * [misc]simplify:  iters left: 4 (370 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 699 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (125 enodes)
* * [misc]simplify:  iters left: 4 (382 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 700 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (126 enodes)
* * [misc]simplify:  iters left: 4 (379 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 701 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (42 enodes)
* * [misc]simplify:  iters left: 5 (103 enodes)
* * [misc]simplify:  iters left: 4 (302 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ lambda1 lambda2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ lambda1 lambda2))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 702 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (118 enodes)
* * [misc]simplify:  iters left: 4 (331 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 703 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (38 enodes)
* * [misc]simplify:  iters left: 5 (88 enodes)
* * [misc]simplify:  iters left: 4 (253 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 704 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (117 enodes)
* * [misc]simplify:  iters left: 4 (330 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 705 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (40 enodes)
* * [misc]simplify:  iters left: 5 (93 enodes)
* * [misc]simplify:  iters left: 4 (265 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 706 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (46 enodes)
* * [misc]simplify:  iters left: 5 (116 enodes)
* * [misc]simplify:  iters left: 4 (347 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 707 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (125 enodes)
* * [misc]simplify:  iters left: 4 (380 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 708 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (125 enodes)
* * [misc]simplify:  iters left: 4 (375 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 709 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (123 enodes)
* * [misc]simplify:  iters left: 4 (332 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 710 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (44 enodes)
* * [misc]simplify:  iters left: 5 (106 enodes)
* * [misc]simplify:  iters left: 4 (279 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 711 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (117 enodes)
* * [misc]simplify:  iters left: 4 (330 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 712 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (42 enodes)
* * [misc]simplify:  iters left: 5 (100 enodes)
* * [misc]simplify:  iters left: 4 (265 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 713 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (116 enodes)
* * [misc]simplify:  iters left: 4 (328 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 714 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (123 enodes)
* * [misc]simplify:  iters left: 4 (368 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 715 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (125 enodes)
* * [misc]simplify:  iters left: 4 (381 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 716 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (125 enodes)
* * [misc]simplify:  iters left: 4 (377 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 717 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (42 enodes)
* * [misc]simplify:  iters left: 5 (103 enodes)
* * [misc]simplify:  iters left: 4 (301 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 718 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (117 enodes)
* * [misc]simplify:  iters left: 4 (329 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 719 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (40 enodes)
* * [misc]simplify:  iters left: 5 (93 enodes)
* * [misc]simplify:  iters left: 4 (265 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 720 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (116 enodes)
* * [misc]simplify:  iters left: 4 (328 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 721 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (38 enodes)
* * [misc]simplify:  iters left: 5 (87 enodes)
* * [misc]simplify:  iters left: 4 (251 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 722 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (42 enodes)
* * [misc]simplify:  iters left: 5 (103 enodes)
* * [misc]simplify:  iters left: 4 (296 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 723 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (45 enodes)
* * [misc]simplify:  iters left: 5 (112 enodes)
* * [misc]simplify:  iters left: 4 (329 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 724 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (45 enodes)
* * [misc]simplify:  iters left: 5 (112 enodes)
* * [misc]simplify:  iters left: 4 (325 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 725 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (38 enodes)
* * [misc]simplify:  iters left: 5 (90 enodes)
* * [misc]simplify:  iters left: 4 (249 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 726 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (41 enodes)
* * [misc]simplify:  iters left: 5 (97 enodes)
* * [misc]simplify:  iters left: 4 (253 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 727 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (cbrt (+ lambda1 lambda2))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (85 enodes)
* * [misc]simplify:  iters left: 4 (242 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (cbrt (+ lambda1 lambda2))))) R))
* * * * [misc]progress:  [ 728 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (41 enodes)
* * [misc]simplify:  iters left: 5 (96 enodes)
* * [misc]simplify:  iters left: 4 (252 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 729 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (cbrt (+ lambda1 lambda2))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (84 enodes)
* * [misc]simplify:  iters left: 4 (240 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (cbrt (+ lambda1 lambda2))))) R))
* * * * [misc]progress:  [ 730 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (42 enodes)
* * [misc]simplify:  iters left: 5 (105 enodes)
* * [misc]simplify:  iters left: 4 (302 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 731 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (45 enodes)
* * [misc]simplify:  iters left: 5 (114 enodes)
* * [misc]simplify:  iters left: 4 (335 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 732 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (45 enodes)
* * [misc]simplify:  iters left: 5 (114 enodes)
* * [misc]simplify:  iters left: 4 (331 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 733 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (38 enodes)
* * [misc]simplify:  iters left: 5 (92 enodes)
* * [misc]simplify:  iters left: 4 (255 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 734 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (41 enodes)
* * [misc]simplify:  iters left: 5 (99 enodes)
* * [misc]simplify:  iters left: 4 (259 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 735 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (cbrt (+ lambda1 lambda2))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (86 enodes)
* * [misc]simplify:  iters left: 4 (246 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (cbrt (+ lambda1 lambda2))))) R))
* * * * [misc]progress:  [ 736 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (41 enodes)
* * [misc]simplify:  iters left: 5 (98 enodes)
* * [misc]simplify:  iters left: 4 (258 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 737 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (cbrt (+ lambda1 lambda2))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (85 enodes)
* * [misc]simplify:  iters left: 4 (244 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (cbrt (+ lambda1 lambda2))))) R))
* * * * [misc]progress:  [ 738 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (42 enodes)
* * [misc]simplify:  iters left: 5 (103 enodes)
* * [misc]simplify:  iters left: 4 (307 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 739 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (417 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 740 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (130 enodes)
* * [misc]simplify:  iters left: 4 (414 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 741 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (377 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 742 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (119 enodes)
* * [misc]simplify:  iters left: 4 (368 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 743 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (127 enodes)
* * [misc]simplify:  iters left: 4 (391 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda2 lambda1))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda2 lambda1))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 744 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (120 enodes)
* * [misc]simplify:  iters left: 4 (369 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 745 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (127 enodes)
* * [misc]simplify:  iters left: 4 (391 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 746 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (130 enodes)
* * [misc]simplify:  iters left: 4 (409 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 747 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (133 enodes)
* * [misc]simplify:  iters left: 4 (419 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 748 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (144 enodes)
* * [misc]simplify:  iters left: 4 (457 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 749 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (146 enodes)
* * [misc]simplify:  iters left: 4 (469 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 750 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (144 enodes)
* * [misc]simplify:  iters left: 4 (477 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 751 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (144 enodes)
* * [misc]simplify:  iters left: 4 (479 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 752 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (145 enodes)
* * [misc]simplify:  iters left: 4 (478 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 753 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (145 enodes)
* * [misc]simplify:  iters left: 4 (480 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 754 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (406 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 755 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (144 enodes)
* * [misc]simplify:  iters left: 4 (457 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 756 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (132 enodes)
* * [misc]simplify:  iters left: 4 (416 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 757 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (146 enodes)
* * [misc]simplify:  iters left: 4 (467 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 758 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (143 enodes)
* * [misc]simplify:  iters left: 4 (471 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 759 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (144 enodes)
* * [misc]simplify:  iters left: 4 (475 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 760 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (144 enodes)
* * [misc]simplify:  iters left: 4 (472 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 761 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (144 enodes)
* * [misc]simplify:  iters left: 4 (475 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 762 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (128 enodes)
* * [misc]simplify:  iters left: 4 (369 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 763 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (146 enodes)
* * [misc]simplify:  iters left: 4 (469 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 764 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (146 enodes)
* * [misc]simplify:  iters left: 4 (467 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 765 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (379 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 766 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (142 enodes)
* * [misc]simplify:  iters left: 4 (435 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 767 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (142 enodes)
* * [misc]simplify:  iters left: 4 (437 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 768 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (143 enodes)
* * [misc]simplify:  iters left: 4 (436 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 769 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (143 enodes)
* * [misc]simplify:  iters left: 4 (438 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 770 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (118 enodes)
* * [misc]simplify:  iters left: 4 (360 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 771 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (144 enodes)
* * [misc]simplify:  iters left: 4 (477 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 772 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (143 enodes)
* * [misc]simplify:  iters left: 4 (471 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 773 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (142 enodes)
* * [misc]simplify:  iters left: 4 (435 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 774 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (121 enodes)
* * [misc]simplify:  iters left: 4 (370 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 775 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (423 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 776 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (126 enodes)
* * [misc]simplify:  iters left: 4 (378 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 777 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (423 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 778 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (126 enodes)
* * [misc]simplify:  iters left: 4 (383 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 779 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (144 enodes)
* * [misc]simplify:  iters left: 4 (479 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 780 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (144 enodes)
* * [misc]simplify:  iters left: 4 (475 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 781 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (142 enodes)
* * [misc]simplify:  iters left: 4 (437 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 782 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (423 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 783 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (393 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 784 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (424 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (+ lambda2 lambda1)))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (+ lambda2 lambda1)))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 785 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (134 enodes)
* * [misc]simplify:  iters left: 4 (408 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 786 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (119 enodes)
* * [misc]simplify:  iters left: 4 (361 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 787 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (145 enodes)
* * [misc]simplify:  iters left: 4 (478 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 788 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (144 enodes)
* * [misc]simplify:  iters left: 4 (472 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 789 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (143 enodes)
* * [misc]simplify:  iters left: 4 (436 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 790 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (126 enodes)
* * [misc]simplify:  iters left: 4 (378 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 791 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (424 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 792 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* * [misc]simplify:  iters left: 4 (371 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 793 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (423 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 794 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (126 enodes)
* * [misc]simplify:  iters left: 4 (383 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 795 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (145 enodes)
* * [misc]simplify:  iters left: 4 (480 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 796 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (144 enodes)
* * [misc]simplify:  iters left: 4 (475 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 797 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (143 enodes)
* * [misc]simplify:  iters left: 4 (438 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 798 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (423 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 799 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (134 enodes)
* * [misc]simplify:  iters left: 4 (408 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 800 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (423 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 801 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (393 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 802 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (133 enodes)
* * [misc]simplify:  iters left: 4 (419 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 803 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (130 enodes)
* * [misc]simplify:  iters left: 4 (409 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 804 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (143 enodes)
* * [misc]simplify:  iters left: 4 (452 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 805 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (146 enodes)
* * [misc]simplify:  iters left: 4 (469 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 806 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (144 enodes)
* * [misc]simplify:  iters left: 4 (477 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 807 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (144 enodes)
* * [misc]simplify:  iters left: 4 (479 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 808 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (145 enodes)
* * [misc]simplify:  iters left: 4 (478 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 809 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (145 enodes)
* * [misc]simplify:  iters left: 4 (480 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 810 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (417 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 811 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (45 enodes)
* * [misc]simplify:  iters left: 5 (113 enodes)
* * [misc]simplify:  iters left: 4 (337 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 812 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (364 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 813 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (130 enodes)
* * [misc]simplify:  iters left: 4 (385 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 814 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (402 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 815 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (128 enodes)
* * [misc]simplify:  iters left: 4 (403 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 816 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (402 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 817 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (404 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 818 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (144 enodes)
* * [misc]simplify:  iters left: 4 (464 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 819 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (392 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 820 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (383 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 821 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (144 enodes)
* * [misc]simplify:  iters left: 4 (433 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 822 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (142 enodes)
* * [misc]simplify:  iters left: 4 (439 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 823 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (142 enodes)
* * [misc]simplify:  iters left: 4 (441 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 824 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (143 enodes)
* * [misc]simplify:  iters left: 4 (440 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 825 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (143 enodes)
* * [misc]simplify:  iters left: 4 (442 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (+ phi2 phi1)) (* (- phi1 phi2) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (+ phi2 phi1)) (* (- phi1 phi2) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 826 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (146 enodes)
* * [misc]simplify:  iters left: 4 (469 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 827 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (377 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 828 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (143 enodes)
* * [misc]simplify:  iters left: 4 (422 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 829 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (132 enodes)
* * [misc]simplify:  iters left: 4 (387 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 830 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (144 enodes)
* * [misc]simplify:  iters left: 4 (444 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 831 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (143 enodes)
* * [misc]simplify:  iters left: 4 (445 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 832 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (144 enodes)
* * [misc]simplify:  iters left: 4 (444 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 833 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (144 enodes)
* * [misc]simplify:  iters left: 4 (446 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 834 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (144 enodes)
* * [misc]simplify:  iters left: 4 (477 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 835 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (128 enodes)
* * [misc]simplify:  iters left: 4 (394 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 836 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (141 enodes)
* * [misc]simplify:  iters left: 4 (434 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 837 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (144 enodes)
* * [misc]simplify:  iters left: 4 (444 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 838 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (404 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 839 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (138 enodes)
* * [misc]simplify:  iters left: 4 (436 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (+ lambda2 lambda1)))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (+ lambda2 lambda1)))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 840 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (419 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 841 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (139 enodes)
* * [misc]simplify:  iters left: 4 (437 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 842 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (144 enodes)
* * [misc]simplify:  iters left: 4 (479 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 843 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (127 enodes)
* * [misc]simplify:  iters left: 4 (395 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 844 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (141 enodes)
* * [misc]simplify:  iters left: 4 (436 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 845 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (143 enodes)
* * [misc]simplify:  iters left: 4 (445 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 846 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (138 enodes)
* * [misc]simplify:  iters left: 4 (436 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 847 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (130 enodes)
* * [misc]simplify:  iters left: 4 (405 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 848 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (138 enodes)
* * [misc]simplify:  iters left: 4 (436 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 849 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (135 enodes)
* * [misc]simplify:  iters left: 4 (420 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 850 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (145 enodes)
* * [misc]simplify:  iters left: 4 (478 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 851 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (128 enodes)
* * [misc]simplify:  iters left: 4 (394 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 852 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (142 enodes)
* * [misc]simplify:  iters left: 4 (437 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 853 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (144 enodes)
* * [misc]simplify:  iters left: 4 (444 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 854 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (419 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 855 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (138 enodes)
* * [misc]simplify:  iters left: 4 (436 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (+ lambda2 lambda1)))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (+ lambda2 lambda1)))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 856 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (404 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 857 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (138 enodes)
* * [misc]simplify:  iters left: 4 (436 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 858 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (145 enodes)
* * [misc]simplify:  iters left: 4 (480 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 859 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (128 enodes)
* * [misc]simplify:  iters left: 4 (396 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 860 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (142 enodes)
* * [misc]simplify:  iters left: 4 (439 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 861 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (144 enodes)
* * [misc]simplify:  iters left: 4 (446 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 862 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (139 enodes)
* * [misc]simplify:  iters left: 4 (437 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 863 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (135 enodes)
* * [misc]simplify:  iters left: 4 (420 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 864 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (138 enodes)
* * [misc]simplify:  iters left: 4 (436 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 865 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (406 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 866 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (132 enodes)
* * [misc]simplify:  iters left: 4 (422 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 867 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (143 enodes)
* * [misc]simplify:  iters left: 4 (447 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 868 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (412 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 869 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (146 enodes)
* * [misc]simplify:  iters left: 4 (461 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 870 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (143 enodes)
* * [misc]simplify:  iters left: 4 (471 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 871 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (144 enodes)
* * [misc]simplify:  iters left: 4 (475 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (+ phi2 phi1)) (* (- phi1 phi2) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (+ phi2 phi1)) (* (- phi1 phi2) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 872 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (144 enodes)
* * [misc]simplify:  iters left: 4 (472 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 873 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (144 enodes)
* * [misc]simplify:  iters left: 4 (475 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 874 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (144 enodes)
* * [misc]simplify:  iters left: 4 (458 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 875 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (387 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 876 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (397 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 877 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (144 enodes)
* * [misc]simplify:  iters left: 4 (427 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 878 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (142 enodes)
* * [misc]simplify:  iters left: 4 (439 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 879 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (142 enodes)
* * [misc]simplify:  iters left: 4 (441 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 880 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (143 enodes)
* * [misc]simplify:  iters left: 4 (440 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 881 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (143 enodes)
* * [misc]simplify:  iters left: 4 (442 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (+ lambda2 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 882 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (130 enodes)
* * [misc]simplify:  iters left: 4 (420 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 883 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (369 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 884 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (45 enodes)
* * [misc]simplify:  iters left: 5 (113 enodes)
* * [misc]simplify:  iters left: 4 (341 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1))) (* (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1))) (* (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 885 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (390 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 886 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (128 enodes)
* * [misc]simplify:  iters left: 4 (396 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 887 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (400 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 888 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (397 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 889 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (400 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 890 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (146 enodes)
* * [misc]simplify:  iters left: 4 (461 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 891 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (143 enodes)
* * [misc]simplify:  iters left: 4 (415 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 892 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (130 enodes)
* * [misc]simplify:  iters left: 4 (382 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 893 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (133 enodes)
* * [misc]simplify:  iters left: 4 (392 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 894 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (144 enodes)
* * [misc]simplify:  iters left: 4 (441 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 895 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (144 enodes)
* * [misc]simplify:  iters left: 4 (444 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 896 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (145 enodes)
* * [misc]simplify:  iters left: 4 (442 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 897 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (145 enodes)
* * [misc]simplify:  iters left: 4 (445 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 898 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (143 enodes)
* * [misc]simplify:  iters left: 4 (471 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 899 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (141 enodes)
* * [misc]simplify:  iters left: 4 (434 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 900 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (127 enodes)
* * [misc]simplify:  iters left: 4 (388 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 901 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (144 enodes)
* * [misc]simplify:  iters left: 4 (441 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 902 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (130 enodes)
* * [misc]simplify:  iters left: 4 (398 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 903 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (138 enodes)
* * [misc]simplify:  iters left: 4 (437 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 904 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (135 enodes)
* * [misc]simplify:  iters left: 4 (413 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 905 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (138 enodes)
* * [misc]simplify:  iters left: 4 (437 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 906 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (144 enodes)
* * [misc]simplify:  iters left: 4 (475 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 907 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (141 enodes)
* * [misc]simplify:  iters left: 4 (436 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (+ phi2 phi1)) (* (- phi1 phi2) (cbrt (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (+ phi2 phi1)) (* (- phi1 phi2) (cbrt (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 908 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (128 enodes)
* * [misc]simplify:  iters left: 4 (392 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 909 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (144 enodes)
* * [misc]simplify:  iters left: 4 (444 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 910 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (138 enodes)
* * [misc]simplify:  iters left: 4 (437 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 911 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (402 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))))) (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))))) (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 912 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (139 enodes)
* * [misc]simplify:  iters left: 4 (438 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (+ phi2 phi1)) (* (- phi1 phi2) (cbrt (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (+ phi2 phi1)) (* (- phi1 phi2) (cbrt (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 913 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (417 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 914 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (144 enodes)
* * [misc]simplify:  iters left: 4 (472 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 915 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (142 enodes)
* * [misc]simplify:  iters left: 4 (437 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 916 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (128 enodes)
* * [misc]simplify:  iters left: 4 (389 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (+ lambda2 lambda1) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (+ lambda2 lambda1) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (- (pow phi1 3) (pow phi2 3))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (+ lambda2 lambda1) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (+ lambda2 lambda1) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (- (pow phi1 3) (pow phi2 3))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 917 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (145 enodes)
* * [misc]simplify:  iters left: 4 (442 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 918 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (135 enodes)
* * [misc]simplify:  iters left: 4 (413 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 919 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (139 enodes)
* * [misc]simplify:  iters left: 4 (438 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 920 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (399 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (+ lambda2 lambda1) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (+ lambda2 lambda1) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 921 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (138 enodes)
* * [misc]simplify:  iters left: 4 (437 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 922 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (144 enodes)
* * [misc]simplify:  iters left: 4 (475 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 923 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (142 enodes)
* * [misc]simplify:  iters left: 4 (439 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 924 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (128 enodes)
* * [misc]simplify:  iters left: 4 (392 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (- (pow phi1 3) (pow phi2 3))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (- (pow phi1 3) (pow phi2 3))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 925 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (145 enodes)
* * [misc]simplify:  iters left: 4 (445 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 926 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (138 enodes)
* * [misc]simplify:  iters left: 4 (437 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 927 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (417 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 928 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (138 enodes)
* * [misc]simplify:  iters left: 4 (437 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (+ phi2 phi1)) (* (- phi1 phi2) (cbrt (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (+ phi2 phi1)) (* (- phi1 phi2) (cbrt (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 929 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (402 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 930 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (385 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 931 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (146 enodes)
* * [misc]simplify:  iters left: 4 (463 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 932 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (146 enodes)
* * [misc]simplify:  iters left: 4 (461 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 933 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (128 enodes)
* * [misc]simplify:  iters left: 4 (375 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 934 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (142 enodes)
* * [misc]simplify:  iters left: 4 (435 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 935 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (142 enodes)
* * [misc]simplify:  iters left: 4 (437 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 936 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (143 enodes)
* * [misc]simplify:  iters left: 4 (436 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 937 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (143 enodes)
* * [misc]simplify:  iters left: 4 (438 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 938 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (146 enodes)
* * [misc]simplify:  iters left: 4 (463 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 939 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (132 enodes)
* * [misc]simplify:  iters left: 4 (393 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 940 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (144 enodes)
* * [misc]simplify:  iters left: 4 (421 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 941 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (383 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 942 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (144 enodes)
* * [misc]simplify:  iters left: 4 (444 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 943 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (143 enodes)
* * [misc]simplify:  iters left: 4 (445 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 944 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (144 enodes)
* * [misc]simplify:  iters left: 4 (444 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 945 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (144 enodes)
* * [misc]simplify:  iters left: 4 (446 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 946 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (146 enodes)
* * [misc]simplify:  iters left: 4 (461 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 947 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (144 enodes)
* * [misc]simplify:  iters left: 4 (421 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 948 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (133 enodes)
* * [misc]simplify:  iters left: 4 (392 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 949 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (130 enodes)
* * [misc]simplify:  iters left: 4 (382 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 950 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (144 enodes)
* * [misc]simplify:  iters left: 4 (441 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 951 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (144 enodes)
* * [misc]simplify:  iters left: 4 (444 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 952 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (145 enodes)
* * [misc]simplify:  iters left: 4 (442 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 953 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (145 enodes)
* * [misc]simplify:  iters left: 4 (445 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 954 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (383 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 955 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (130 enodes)
* * [misc]simplify:  iters left: 4 (391 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 956 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (49 enodes)
* * [misc]simplify:  iters left: 5 (131 enodes)
* * [misc]simplify:  iters left: 4 (390 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 957 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (38 enodes)
* * [misc]simplify:  iters left: 5 (91 enodes)
* * [misc]simplify:  iters left: 4 (259 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 958 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (127 enodes)
* * [misc]simplify:  iters left: 4 (354 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 959 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (43 enodes)
* * [misc]simplify:  iters left: 5 (106 enodes)
* * [misc]simplify:  iters left: 4 (317 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 960 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (127 enodes)
* * [misc]simplify:  iters left: 4 (354 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 961 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (43 enodes)
* * [misc]simplify:  iters left: 5 (107 enodes)
* * [misc]simplify:  iters left: 4 (318 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 962 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (142 enodes)
* * [misc]simplify:  iters left: 4 (435 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 963 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (144 enodes)
* * [misc]simplify:  iters left: 4 (444 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 964 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (144 enodes)
* * [misc]simplify:  iters left: 4 (441 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 965 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (126 enodes)
* * [misc]simplify:  iters left: 4 (346 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 966 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (356 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 967 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (394 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 968 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (134 enodes)
* * [misc]simplify:  iters left: 4 (371 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 969 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (395 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 970 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (142 enodes)
* * [misc]simplify:  iters left: 4 (437 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (* (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (* (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 971 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (143 enodes)
* * [misc]simplify:  iters left: 4 (445 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 972 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (144 enodes)
* * [misc]simplify:  iters left: 4 (444 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 973 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (43 enodes)
* * [misc]simplify:  iters left: 5 (105 enodes)
* * [misc]simplify:  iters left: 4 (309 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 974 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (394 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 975 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (43 enodes)
* * [misc]simplify:  iters left: 5 (108 enodes)
* * [misc]simplify:  iters left: 4 (319 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 976 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (394 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (+ phi2 phi1)) (* (- phi1 phi2) (cbrt (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (+ phi2 phi1)) (* (- phi1 phi2) (cbrt (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 977 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (45 enodes)
* * [misc]simplify:  iters left: 5 (113 enodes)
* * [misc]simplify:  iters left: 4 (327 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 978 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (143 enodes)
* * [misc]simplify:  iters left: 4 (436 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 979 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (144 enodes)
* * [misc]simplify:  iters left: 4 (444 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 980 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (145 enodes)
* * [misc]simplify:  iters left: 4 (442 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 981 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (126 enodes)
* * [misc]simplify:  iters left: 4 (346 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 982 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (52 enodes)
* * [misc]simplify:  iters left: 5 (134 enodes)
* * [misc]simplify:  iters left: 4 (371 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 983 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (394 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 984 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (50 enodes)
* * [misc]simplify:  iters left: 5 (129 enodes)
* * [misc]simplify:  iters left: 4 (356 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 985 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (394 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1)))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1)))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 986 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (143 enodes)
* * [misc]simplify:  iters left: 4 (438 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 987 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (144 enodes)
* * [misc]simplify:  iters left: 4 (446 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 988 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (145 enodes)
* * [misc]simplify:  iters left: 4 (445 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 989 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (43 enodes)
* * [misc]simplify:  iters left: 5 (106 enodes)
* * [misc]simplify:  iters left: 4 (310 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 990 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (137 enodes)
* * [misc]simplify:  iters left: 4 (395 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 991 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (45 enodes)
* * [misc]simplify:  iters left: 5 (113 enodes)
* * [misc]simplify:  iters left: 4 (327 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 992 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (53 enodes)
* * [misc]simplify:  iters left: 5 (136 enodes)
* * [misc]simplify:  iters left: 4 (394 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))))) R))
* * * * [misc]progress:  [ 993 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (43 enodes)
* * [misc]simplify:  iters left: 5 (109 enodes)
* * [misc]simplify:  iters left: 4 (320 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 994 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (47 enodes)
* * [misc]simplify:  iters left: 5 (121 enodes)
* * [misc]simplify:  iters left: 4 (370 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))
* * * * [misc]progress:  [ 995 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (144 enodes)
* * [misc]simplify:  iters left: 4 (477 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 996 / 5901 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))))))
* * [misc]simplify:  iters left: 6 (54 enodes)
* * [misc]simplify:  iters left: 5 (143 enodes)
* * [misc]simplify:  iters left: 4 (471 enodes)